322382025 has 189 divisors, whose sum is σ = 735837111. Its totient is φ = 139618080.

The previous prime is 322381993. The next prime is 322382087. The reversal of 322382025 is 520283223.

322382025 = 1³ + 2³ + ... + 189³.

The square root of 322382025 is 17955.

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

It can be written as a sum of positive squares in only one way, i.e., 116057529 + 206324496 = 10773^2 + 14364^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 322382025 - 2⁵ = 322381993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 322382025.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 16967466 + ... + 16967484.

Almost surely, 2^322382025 is an apocalyptic number.

322382025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

322382025 is the 17955-th square number.

322382025 is the 8978-th centered octagonal number.

It is an amenable number.

322382025 is an abundant number, since it is smaller than the sum of its proper divisors (413455086).

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

322382025 is an equidigital number, since it uses as much as digits as its factorization.

322382025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The cubic root of 322382025 is about 685.6833537944.

The spelling of 322382025 in words is "three hundred twenty-two million, three hundred eighty-two thousand, twenty-five".