164905 has 16 divisors (see below), whose sum is σ = 221760. Its totient is φ = 116928.

The previous prime is 164893. The next prime is 164911. The reversal of 164905 is 509461.

It is a cyclic number.

It is not a de Polignac number, because 164905 - 2¹⁵ = 132137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 164905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2766 + ... + 2824.

It is an arithmetic number, because the mean of its divisors is an integer number (13860).

2¹⁶⁴⁹⁰⁵ is an apocalyptic number.

It is an amenable number.

164905 is a deficient number, since it is larger than the sum of its proper divisors (56855).

164905 is a wasteful number, since it uses less digits than its factorization.

164905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120.

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 164905 is about 406.0849664787. The cubic root of 164905 is about 54.8375371070.

The spelling of 164905 in words is "one hundred sixty-four thousand, nine hundred five".