164546325 has 36 divisors (see below), whose sum is σ = 301925988. Its totient is φ = 85612800.

The previous prime is 164546299. The next prime is 164546351. The reversal of 164546325 is 523645461.

164546325 is a `hidden beast` number, since 1 + 645 + 4 + 6 + 3 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (164546299) and next prime (164546351).

It can be written as a sum of positive squares in 6 ways, for example, as 8346321 + 156200004 = 2889^2 + 12498^2 .

It is not a de Polignac number, because 164546325 - 2⁵ = 164546293 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 164546325.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 307 + ... + 18143.

It is an arithmetic number, because the mean of its divisors is an integer number (8386833).

Almost surely, 2^164546325 is an apocalyptic number.

164546325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164546325 is a deficient number, since it is larger than the sum of its proper divisors (137379663).

164546325 is a wasteful number, since it uses less digits than its factorization.

164546325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17894 (or 17886 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 164546325 is about 12827.5611477786. The cubic root of 164546325 is about 547.9775029836.

The spelling of 164546325 in words is "one hundred sixty-four million, five hundred forty-six thousand, three hundred twenty-five".