321972 has 24 divisors (see below), whose sum is σ = 858816. Its totient is φ = 91968.

The previous prime is 321961. The next prime is 321983. The reversal of 321972 is 279123.

It is an interprime number because it is at equal distance from previous prime (321961) and next prime (321983).

It is a d-powerful number, because it can be written as 3¹⁰ + 2¹⁷ + 9³ + 1 + 7² + 2¹⁷ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1833 + ... + 2000.

It is an arithmetic number, because the mean of its divisors is an integer number (35784).

2³²¹⁹⁷² is an apocalyptic number.

It is an amenable number.

321972 is an abundant number, since it is smaller than the sum of its proper divisors (536844).

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

321972 is a wasteful number, since it uses less digits than its factorization.

321972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3847 (or 3845 counting only the distinct ones).

The product of its digits is 756, while the sum is 24.

The square root of 321972 is about 567.4257660699. The cubic root of 321972 is about 68.5392532581.

Subtracting from 321972 its reverse (279123), we obtain a square (42849 = 207²).

The spelling of 321972 in words is "three hundred twenty-one thousand, nine hundred seventy-two".