163332 has 36 divisors (see below), whose sum is σ = 445900. Its totient is φ = 50112.

The previous prime is 163327. The next prime is 163337. The reversal of 163332 is 233361.

It is a happy number.

163332 is a `hidden beast` number, since 1 + 633 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (163327) and next prime (163337).

It can be written as a sum of positive squares in 2 ways, for example, as 69696 + 93636 = 264^2 + 306^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 163332.

It is not an unprimeable number, because it can be changed into a prime (163337) by changing a digit.

163332 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 294 + ... + 642.

2¹⁶³³³² is an apocalyptic number.

163332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222950).

163332 is an abundant number, since it is smaller than the sum of its proper divisors (282568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

163332 is a wasteful number, since it uses less digits than its factorization.

163332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 367 counting only the distinct ones).

The product of its digits is 324, while the sum is 18.

The square root of 163332 is about 404.1435388572. The cubic root of 163332 is about 54.6626178507.

Adding to 163332 its reverse (233361), we get a palindrome (396693).

The spelling of 163332 in words is "one hundred sixty-three thousand, three hundred thirty-two".