162657252 has 72 divisors (see below), whose sum is σ = 434616000. Its totient is φ = 51150528.

The previous prime is 162657251. The next prime is 162657281. The reversal of 162657252 is 252756261.

162657252 is a `hidden beast` number, since 1 + 626 + 5 + 7 + 25 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (162657251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271249 + ... + 271847.

Almost surely, 2^162657252 is an apocalyptic number.

162657252 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 162657252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217308000).

162657252 is an abundant number, since it is smaller than the sum of its proper divisors (271958748).

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

162657252 is a wasteful number, since it uses less digits than its factorization.

162657252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1020 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 162657252 is about 12753.7152234163. The cubic root of 162657252 is about 545.8724091029.

Subtracting 162657252 from its reverse (252756261), we obtain a palindrome (90099009).

The spelling of 162657252 in words is "one hundred sixty-two million, six hundred fifty-seven thousand, two hundred fifty-two".