321114564 has 192 divisors, whose sum is σ = 942278400. Its totient is φ = 94058496.

The previous prime is 321114529. The next prime is 321114571. The reversal of 321114564 is 465411123.

It is a happy number.

It is a super-2 number, since 2×321114564² = 206229126425820192, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1969947 + ... + 1970109.

It is an arithmetic number, because the mean of its divisors is an integer number (4907700).

Almost surely, 2^321114564 is an apocalyptic number.

321114564 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321114564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471139200).

321114564 is an abundant number, since it is smaller than the sum of its proper divisors (621163836).

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

321114564 is a wasteful number, since it uses less digits than its factorization.

321114564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 251 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 321114564 is about 17919.6697514212. The cubic root of 321114564 is about 684.7835741586.

Adding to 321114564 its reverse (465411123), we get a palindrome (786525687).

The spelling of 321114564 in words is "three hundred twenty-one million, one hundred fourteen thousand, five hundred sixty-four".