165753 has 16 divisors (see below), whose sum is σ = 280960. Its totient is φ = 94608.

The previous prime is 165749. The next prime is 165779. The reversal of 165753 is 357561.

165753 is a `hidden beast` number, since 1 + 657 + 5 + 3 = 666.

It is not a de Polignac number, because 165753 - 2² = 165749 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

165753 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (165703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250 + ... + 627.

It is an arithmetic number, because the mean of its divisors is an integer number (17560).

2¹⁶⁵⁷⁵³ is an apocalyptic number.

It is an amenable number.

165753 is a deficient number, since it is larger than the sum of its proper divisors (115207).

165753 is an equidigital number, since it uses as much as digits as its factorization.

165753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 887 counting only the distinct ones).

The product of its digits is 3150, while the sum is 27.

The square root of 165753 is about 407.1277440804. The cubic root of 165753 is about 54.9313744641.

The spelling of 165753 in words is "one hundred sixty-five thousand, seven hundred fifty-three".