321964530 has 64 divisors (see below), whose sum is σ = 822659328. Its totient is φ = 80363520.

The previous prime is 321964493. The next prime is 321964561. The reversal of 321964530 is 35469123.

321964530 = 228² + 229² + ... + 992².

It is a super-2 number, since 2×321964530² = 207322317156241800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321964491 and 321964500.

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, 96795 + ... + 100065.

It is an arithmetic number, because the mean of its divisors is an integer number (12854052).

Almost surely, 2^321964530 is an apocalyptic number.

321964530 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 321964530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411329664).

321964530 is an abundant number, since it is smaller than the sum of its proper divisors (500694798).

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

321964530 is a wasteful number, since it uses less digits than its factorization.

321964530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3491.

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 321964530 is about 17943.3700847973. The cubic root of 321964530 is about 685.3872319943.

The spelling of 321964530 in words is "three hundred twenty-one million, nine hundred sixty-four thousand, five hundred thirty".