162936 has 48 divisors (see below), whose sum is σ = 461760. Its totient is φ = 51840.

The previous prime is 162917. The next prime is 162937. The reversal of 162936 is 639261.

It is a happy number.

162936 is a `hidden beast` number, since 1 + 629 + 36 = 666.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 162936.

It is not an unprimeable number, because it can be changed into a prime (162937) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2196 + ... + 2268.

It is an arithmetic number, because the mean of its divisors is an integer number (9620).

2¹⁶²⁹³⁶ 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 162936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230880).

162936 is an abundant number, since it is smaller than the sum of its proper divisors (298824).

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

162936 is a wasteful number, since it uses less digits than its factorization.

162936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 109 counting only the distinct ones).

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

The square root of 162936 is about 403.6533165973. The cubic root of 162936 is about 54.6184054199.

The spelling of 162936 in words is "one hundred sixty-two thousand, nine hundred thirty-six".