321952 has 12 divisors (see below), whose sum is σ = 633906. Its totient is φ = 160960.

The previous prime is 321949. The next prime is 321961. The reversal of 321952 is 259123.

It can be written as a sum of positive squares in only one way, i.e., 266256 + 55696 = 516^2 + 236^2 .

It is a d-powerful number, because it can be written as 3¹⁰ + 2² + 9³ + 1 + 5² + 2¹⁸ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 321952.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4999 + ... + 5062.

2³²¹⁹⁵² is an apocalyptic number.

321952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

321952 is a deficient number, since it is larger than the sum of its proper divisors (311954).

321952 is a wasteful number, since it uses less digits than its factorization.

321952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10071 (or 10063 counting only the distinct ones).

The product of its digits is 540, while the sum is 22.

The square root of 321952 is about 567.4081423455. The cubic root of 321952 is about 68.5378340732.

It can be divided in two parts, 3 and 21952, that multiplied together give a palindrome (65856).

The spelling of 321952 in words is "three hundred twenty-one thousand, nine hundred fifty-two".