320952 has 32 divisors (see below), whose sum is σ = 823680. Its totient is φ = 104160.

The previous prime is 320941. The next prime is 320953. The reversal of 320952 is 259023.

320952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 320952.

It is not an unprimeable number, because it can be changed into a prime (320953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 877 + ... + 1187.

It is an arithmetic number, because the mean of its divisors is an integer number (25740).

2³²⁰⁹⁵² 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 320952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411840).

320952 is an abundant number, since it is smaller than the sum of its proper divisors (502728).

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

320952 is a wasteful number, since it uses less digits than its factorization.

320952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 320952 is about 566.5262571144. The cubic root of 320952 is about 68.4667997601.

Adding to 320952 its reverse (259023), we get a palindrome (579975).

The spelling of 320952 in words is "three hundred twenty thousand, nine hundred fifty-two".