165753945 has 48 divisors (see below), whose sum is σ = 340529280. Its totient is φ = 75769344.

The previous prime is 165753941. The next prime is 165753947. The reversal of 165753945 is 549357561.

165753945 is a `hidden beast` number, since 1 + 6 + 575 + 39 + 45 = 666.

It is not a de Polignac number, because 165753945 - 2² = 165753941 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 165753945.

It is not an unprimeable number, because it can be changed into a prime (165753941) 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 47 ways as a sum of consecutive naturals, for example, 1240 + ... + 18249.

It is an arithmetic number, because the mean of its divisors is an integer number (7094360).

Almost surely, 2^165753945 is an apocalyptic number.

165753945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

165753945 is an abundant number, since it is smaller than the sum of its proper divisors (174775335).

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

165753945 is an equidigital number, since it uses as much as digits as its factorization.

165753945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19516 (or 19504 counting only the distinct ones).

The product of its digits is 567000, while the sum is 45.

The square root of 165753945 is about 12874.5463997766. The cubic root of 165753945 is about 549.3147885647.

The spelling of 165753945 in words is "one hundred sixty-five million, seven hundred fifty-three thousand, nine hundred forty-five".