322884961 has 27 divisors (see below), whose sum is σ = 401654547. Its totient is φ = 258753600.

The previous prime is 322884949. The next prime is 322885007. The reversal of 322884961 is 169488223.

The square root of 322884961 is 17969.

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., 251381025 + 71503936 = 15855^2 + 8456^2 .

It is not a de Polignac number, because 322884961 - 2⁹ = 322884449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (322884911) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2138236 + ... + 2138386.

Almost surely, 2^322884961 is an apocalyptic number.

322884961 is the 17969-th square number.

322884961 is the 8985-th centered octagonal number.

It is an amenable number.

322884961 is a deficient number, since it is larger than the sum of its proper divisors (78769586).

322884961 is an equidigital number, since it uses as much as digits as its factorization.

322884961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 175 counting only the distinct ones).

The product of its digits is 165888, while the sum is 43.

The cubic root of 322884961 is about 686.0397380840.

It can be divided in two parts, 32288 and 4961, that added together give a square (37249 = 193²).

The spelling of 322884961 in words is "three hundred twenty-two million, eight hundred eighty-four thousand, nine hundred sixty-one".