321964972 has 96 divisors (see below), whose sum is σ = 711075456. Its totient is φ = 124416000.

The previous prime is 321964961. The next prime is 321965003. The reversal of 321964972 is 279469123.

It is a super-2 number, since 2×321964972² = 207322886389921568, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1778722 + ... + 1778902.

It is an arithmetic number, because the mean of its divisors is an integer number (7407036).

Almost surely, 2^321964972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321964972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355537728).

321964972 is an abundant number, since it is smaller than the sum of its proper divisors (389110484).

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

321964972 is a wasteful number, since it uses less digits than its factorization.

321964972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 345 counting only the distinct ones).

The product of its digits is 163296, while the sum is 43.

The square root of 321964972 is about 17943.3824013200. The cubic root of 321964972 is about 685.3875456324.

The spelling of 321964972 in words is "three hundred twenty-one million, nine hundred sixty-four thousand, nine hundred seventy-two".