165635052 has 96 divisors (see below), whose sum is σ = 445616640. Its totient is φ = 47393280.

The previous prime is 165634993. The next prime is 165635053. The reversal of 165635052 is 250536561.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (165635053) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269898 + ... + 270510.

It is an arithmetic number, because the mean of its divisors is an integer number (4641840).

Almost surely, 2^165635052 is an apocalyptic number.

165635052 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 165635052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222808320).

165635052 is an abundant number, since it is smaller than the sum of its proper divisors (279981588).

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

165635052 is a wasteful number, since it uses less digits than its factorization.

165635052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The square root of 165635052 is about 12869.9282049280. The cubic root of 165635052 is about 549.1834185298.

The spelling of 165635052 in words is "one hundred sixty-five million, six hundred thirty-five thousand, fifty-two".