164980233 has 72 divisors (see below), whose sum is σ = 281951488. Its totient is φ = 96228000.

The previous prime is 164980229. The next prime is 164980237. The reversal of 164980233 is 332089461.

164980233 is a `hidden beast` number, since 1 + 649 + 8 + 0 + 2 + 3 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (164980229) and next prime (164980237).

It is not a de Polignac number, because 164980233 - 2² = 164980229 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (164980237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 911403 + ... + 911583.

Almost surely, 2^164980233 is an apocalyptic number.

It is an amenable number.

164980233 is a deficient number, since it is larger than the sum of its proper divisors (116971255).

164980233 is a wasteful number, since it uses less digits than its factorization.

164980233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 164980233 is about 12844.4631261879. The cubic root of 164980233 is about 548.4587517077.

The spelling of 164980233 in words is "one hundred sixty-four million, nine hundred eighty thousand, two hundred thirty-three".