164857364 has 36 divisors (see below), whose sum is σ = 355350996. Its totient is φ = 66495744.

The previous prime is 164857337. The next prime is 164857391. The reversal of 164857364 is 463758461.

It is an interprime number because it is at equal distance from previous prime (164857337) and next prime (164857391).

It can be written as a sum of positive squares in 2 ways, for example, as 82810000 + 82047364 = 9100^2 + 9058^2 .

It is a super-3 number, since 3×164857364³ (a number of 26 digits) contains 333 as substring.

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, 21407 + ... + 28070.

It is an arithmetic number, because the mean of its divisors is an integer number (9870861).

Almost surely, 2^164857364 is an apocalyptic number.

164857364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

164857364 is an abundant number, since it is smaller than the sum of its proper divisors (190493632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164857364 is a wasteful number, since it uses less digits than its factorization.

164857364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49512 (or 49503 counting only the distinct ones).

The product of its digits is 483840, while the sum is 44.

The square root of 164857364 is about 12839.6792794836. The cubic root of 164857364 is about 548.3225630398.

The spelling of 164857364 in words is "one hundred sixty-four million, eight hundred fifty-seven thousand, three hundred sixty-four".