165935952 has 360 divisors, whose sum is σ = 612314976. Its totient is φ = 43110144.

The previous prime is 165935947. The next prime is 165935953. The reversal of 165935952 is 259539561.

165935952 is a `hidden beast` number, since 1 + 6 + 59 + 3 + 595 + 2 = 666.

It is a super-2 number, since 2×165935952² = 55069480332292608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 165935898 and 165935907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165935953) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2476623 + ... + 2476689.

Almost surely, 2^165935952 is an apocalyptic number.

165935952 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 165935952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306157488).

165935952 is an abundant number, since it is smaller than the sum of its proper divisors (446379024).

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

165935952 is a wasteful number, since it uses less digits than its factorization.

165935952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 92 counting only the distinct ones).

The product of its digits is 364500, while the sum is 45.

The square root of 165935952 is about 12881.6129424851. The cubic root of 165935952 is about 549.5157743589.

The spelling of 165935952 in words is "one hundred sixty-five million, nine hundred thirty-five thousand, nine hundred fifty-two".