163344 has 40 divisors (see below), whose sum is σ = 437472. Its totient is φ = 52480.

The previous prime is 163337. The next prime is 163351. The reversal of 163344 is 443361.

163344 = 42² + 43² + ... + 82².

It is an interprime number because it is at equal distance from previous prime (163337) and next prime (163351).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 163344.

It is an unprimeable number.

163344 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 7 ways as a sum of consecutive naturals, for example, 1927 + ... + 2009.

2¹⁶³³⁴⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218736).

163344 is an abundant number, since it is smaller than the sum of its proper divisors (274128).

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

163344 is a wasteful number, since it uses less digits than its factorization.

163344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 129 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 163344 is about 404.1583847949. The cubic root of 163344 is about 54.6639565052.

The spelling of 163344 in words is "one hundred sixty-three thousand, three hundred forty-four".