163962 has 12 divisors (see below), whose sum is σ = 355290. Its totient is φ = 54648.

The previous prime is 163927. The next prime is 163973. The reversal of 163962 is 269361.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 159201 + 4761 = 399^2 + 69^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 163962.

It is an unprimeable number.

163962 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4537 + ... + 4572.

2¹⁶³⁹⁶² is an apocalyptic number.

163962 is an abundant number, since it is smaller than the sum of its proper divisors (191328).

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

163962 is a wasteful number, since it uses less digits than its factorization.

163962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9117 (or 9114 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 163962 is about 404.9222147524. The cubic root of 163962 is about 54.7328087641.

The spelling of 163962 in words is "one hundred sixty-three thousand, nine hundred sixty-two".