322164084025 has 27 divisors (see below), whose sum is σ = 464733911469. Its totient is φ = 220898892480.

The previous prime is 322164083959. The next prime is 322164084061. The reversal of 322164084025 is 520480461223.

The square root of 322164084025 is 567595.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 10786691881 + 311377392144 = 103859^2 + 558012^2 .

It is not a de Polignac number, because 322164084025 - 2¹⁵ = 322164051257 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19857717 + ... + 19873933.

Almost surely, 2^322164084025 is an apocalyptic number.

322164084025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

322164084025 is the 567595-th square number.

322164084025 is the 283798-th centered octagonal number.

It is an amenable number.

322164084025 is a deficient number, since it is larger than the sum of its proper divisors (142569827444).

322164084025 is an frugal number, since it uses more digits than its factorization.

322164084025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32458 (or 16229 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The spelling of 322164084025 in words is "three hundred twenty-two billion, one hundred sixty-four million, eighty-four thousand, twenty-five".