165537 has 8 divisors (see below), whose sum is σ = 245280. Its totient is φ = 110340.

The previous prime is 165533. The next prime is 165541. The reversal of 165537 is 735561.

165537 is a `hidden beast` number, since 1 + 655 + 3 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (165533) and next prime (165541).

It is not a de Polignac number, because 165537 - 2² = 165533 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 6131 = 165537 / (1 + 6 + 5 + 5 + 3 + 7).

It is a self number, because there is not a number n which added to its sum of digits gives 165537.

It is not an unprimeable number, because it can be changed into a prime (165533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3039 + ... + 3092.

It is an arithmetic number, because the mean of its divisors is an integer number (30660).

2¹⁶⁵⁵³⁷ is an apocalyptic number.

It is an amenable number.

165537 is a deficient number, since it is larger than the sum of its proper divisors (79743).

165537 is an equidigital number, since it uses as much as digits as its factorization.

165537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6140 (or 6134 counting only the distinct ones).

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

The square root of 165537 is about 406.8623845971. The cubic root of 165537 is about 54.9075029311.

The spelling of 165537 in words is "one hundred sixty-five thousand, five hundred thirty-seven".