164901 has 16 divisors (see below), whose sum is σ = 253440. Its totient is φ = 94320.

The previous prime is 164893. The next prime is 164911. The reversal of 164901 is 109461.

164901 = 84² + 85² + ... + 102².

It is not a de Polignac number, because 164901 - 2³ = 164893 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164911) 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, 496 + ... + 758.

It is an arithmetic number, because the mean of its divisors is an integer number (15840).

2¹⁶⁴⁹⁰¹ is an apocalyptic number.

164901 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164901 is a deficient number, since it is larger than the sum of its proper divisors (88539).

164901 is a wasteful number, since it uses less digits than its factorization.

164901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296.

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 164901 is about 406.0800413712. The cubic root of 164901 is about 54.8370937166.

The spelling of 164901 in words is "one hundred sixty-four thousand, nine hundred one".