165845052 has 18 divisors (see below), whose sum is σ = 419219528. Its totient is φ = 55281672.

The previous prime is 165844993. The next prime is 165845059. The reversal of 165845052 is 250548561.

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 4606807 = 165845052 / (1 + 6 + 5 + 8 + 4 + 5 + 0 + 5 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 165844998 and 165845016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165845059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2303368 + ... + 2303439.

Almost surely, 2^165845052 is an apocalyptic number.

165845052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

165845052 is an abundant number, since it is smaller than the sum of its proper divisors (253374476).

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

165845052 is a wasteful number, since it uses less digits than its factorization.

165845052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4606817 (or 4606812 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 165845052 is about 12878.0841742862. The cubic root of 165845052 is about 549.4154141352.

The spelling of 165845052 in words is "one hundred sixty-five million, eight hundred forty-five thousand, fifty-two".