164972205 has 12 divisors (see below), whose sum is σ = 285951900. Its totient is φ = 87985152.

The previous prime is 164972191. The next prime is 164972219. The reversal of 164972205 is 502279461.

164972205 is a `hidden beast` number, since 1 + 649 + 7 + 2 + 2 + 0 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (164972191) and next prime (164972219).

It can be written as a sum of positive squares in 2 ways, for example, as 70610409 + 94361796 = 8403^2 + 9714^2 .

It is not a de Polignac number, because 164972205 - 2⁶ = 164972141 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 164972205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1832980 + ... + 1833069.

It is an arithmetic number, because the mean of its divisors is an integer number (23829325).

Almost surely, 2^164972205 is an apocalyptic number.

164972205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164972205 is a deficient number, since it is larger than the sum of its proper divisors (120979695).

164972205 is a wasteful number, since it uses less digits than its factorization.

164972205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3666060 (or 3666057 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 164972205 is about 12844.1506141901. The cubic root of 164972205 is about 548.4498554939.

The spelling of 164972205 in words is "one hundred sixty-four million, nine hundred seventy-two thousand, two hundred five".