164695031 has 24 divisors (see below), whose sum is σ = 185599920. Its totient is φ = 145861632.

The previous prime is 164695001. The next prime is 164695061. The reversal of 164695031 is 130596461.

It is an interprime number because it is at equal distance from previous prime (164695001) and next prime (164695061).

It is not a de Polignac number, because 164695031 - 2¹⁸ = 164432887 is a prime.

It is a super-2 number, since 2×164695031² = 54248906472181922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 164694982 and 164695000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164695001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 360155 + ... + 360611.

It is an arithmetic number, because the mean of its divisors is an integer number (7733330).

Almost surely, 2^164695031 is an apocalyptic number.

164695031 is a deficient number, since it is larger than the sum of its proper divisors (20904889).

164695031 is a wasteful number, since it uses less digits than its factorization.

164695031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 164695031 is about 12833.3561861268. The cubic root of 164695031 is about 548.1425284604.

The spelling of 164695031 in words is "one hundred sixty-four million, six hundred ninety-five thousand, thirty-one".