165536 has 24 divisors (see below), whose sum is σ = 372960. Its totient is φ = 70848.

The previous prime is 165533. The next prime is 165541. The reversal of 165536 is 635561.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 165536.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 146 + ... + 593.

It is an arithmetic number, because the mean of its divisors is an integer number (15540).

2¹⁶⁵⁵³⁶ is an apocalyptic number.

165536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

165536 is an abundant number, since it is smaller than the sum of its proper divisors (207424).

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

165536 is an equidigital number, since it uses as much as digits as its factorization.

165536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 748 counting only the distinct ones).

The product of its digits is 2700, while the sum is 26.

The square root of 165536 is about 406.8611556784. The cubic root of 165536 is about 54.9073923665.

The spelling of 165536 in words is "one hundred sixty-five thousand, five hundred thirty-six".