164406031 has 24 divisors (see below), whose sum is σ = 186656000. Its totient is φ = 144353664.

The previous prime is 164406019. The next prime is 164406043. The reversal of 164406031 is 130604461.

164406031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (164406019) and next prime (164406043).

It is not a de Polignac number, because 164406031 - 2⁵ = 164405999 is a prime.

It is a super-3 number, since 3×164406031³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 164405987 and 164406005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164406061) 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, 433600 + ... + 433978.

Almost surely, 2^164406031 is an apocalyptic number.

164406031 is a deficient number, since it is larger than the sum of its proper divisors (22249969).

164406031 is a wasteful number, since it uses less digits than its factorization.

164406031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 164406031 is about 12822.0915220568. The cubic root of 164406031 is about 547.8217214934.

The spelling of 164406031 in words is "one hundred sixty-four million, four hundred six thousand, thirty-one".