164360331 has 12 divisors (see below), whose sum is σ = 237995160. Its totient is φ = 109303200.

The previous prime is 164360321. The next prime is 164360333. The reversal of 164360331 is 133063461.

164360331 is a `hidden beast` number, since 16 + 43 + 603 + 3 + 1 = 666.

It is not a de Polignac number, because 164360331 - 2⁵ = 164360299 is a prime.

It is a super-2 number, since 2×164360331² = 54028636812859122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164360295 and 164360304.

It is not an unprimeable number, because it can be changed into a prime (164360333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18645 + ... + 26006.

It is an arithmetic number, because the mean of its divisors is an integer number (19832930).

Almost surely, 2^164360331 is an apocalyptic number.

164360331 is a deficient number, since it is larger than the sum of its proper divisors (73634829).

164360331 is a wasteful number, since it uses less digits than its factorization.

164360331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45066 (or 45063 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 164360331 is about 12820.3093176413. The cubic root of 164360331 is about 547.7709573931.

The spelling of 164360331 in words is "one hundred sixty-four million, three hundred sixty thousand, three hundred thirty-one".