165633516 has 72 divisors (see below), whose sum is σ = 445549104. Its totient is φ = 51701760.

The previous prime is 165633509. The next prime is 165633521. The reversal of 165633516 is 615336561.

165633516 is a `hidden beast` number, since 1 + 6 + 5 + 633 + 5 + 16 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146931 + ... + 148053.

It is an arithmetic number, because the mean of its divisors is an integer number (6188182).

Almost surely, 2^165633516 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 165633516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222774552).

165633516 is an abundant number, since it is smaller than the sum of its proper divisors (279915588).

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

165633516 is a wasteful number, since it uses less digits than its factorization.

165633516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391 (or 1386 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 165633516 is about 12869.8685307970. The cubic root of 165633516 is about 549.1817209254.

The spelling of 165633516 in words is "one hundred sixty-five million, six hundred thirty-three thousand, five hundred sixteen".