165642 has 16 divisors (see below), whose sum is σ = 348960. Its totient is φ = 52272.

The previous prime is 165617. The next prime is 165653. The reversal of 165642 is 246561.

It is an Ulam number.

It is an unprimeable number.

165642 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 613 + ... + 840.

It is an arithmetic number, because the mean of its divisors is an integer number (21810).

2¹⁶⁵⁶⁴² is an apocalyptic number.

165642 is an abundant number, since it is smaller than the sum of its proper divisors (183318).

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

165642 is a wasteful number, since it uses less digits than its factorization.

165642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477.

The product of its digits is 1440, while the sum is 24.

The square root of 165642 is about 406.9914004005. The cubic root of 165642 is about 54.9191097406.

The spelling of 165642 in words is "one hundred sixty-five thousand, six hundred forty-two".