165633 has 16 divisors (see below), whose sum is σ = 247296. Its totient is φ = 97920.

The previous prime is 165617. The next prime is 165653. The reversal of 165633 is 336561.

It is not a de Polignac number, because 165633 - 2⁴ = 165617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (165653) 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, 1141 + ... + 1277.

It is an arithmetic number, because the mean of its divisors is an integer number (15456).

2¹⁶⁵⁶³³ is an apocalyptic number.

165633 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

165633 is a deficient number, since it is larger than the sum of its proper divisors (81663).

165633 is a wasteful number, since it uses less digits than its factorization.

165633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184.

The product of its digits is 1620, while the sum is 24.

The square root of 165633 is about 406.9803435057. The cubic root of 165633 is about 54.9181150634.

The spelling of 165633 in words is "one hundred sixty-five thousand, six hundred thirty-three".