321172992 has 160 divisors (see below), whose sum is σ = 1086835200. Its totient is φ = 91736064.

The previous prime is 321172981. The next prime is 321173003. The reversal of 321172992 is 299271123.

It is an interprime number because it is at equal distance from previous prime (321172981) and next prime (321173003).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95109 + ... + 98427.

It is an arithmetic number, because the mean of its divisors is an integer number (6792720).

Almost surely, 2^321172992 is an apocalyptic number.

321172992 is a gapful number since it is divisible by the number (32) 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 321172992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543417600).

321172992 is an abundant number, since it is smaller than the sum of its proper divisors (765662208).

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

321172992 is an equidigital number, since it uses as much as digits as its factorization.

321172992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3353 (or 3331 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 321172992 is about 17921.2999528494. The cubic root of 321172992 is about 684.8251046202.

The spelling of 321172992 in words is "three hundred twenty-one million, one hundred seventy-two thousand, nine hundred ninety-two".