319952 has 10 divisors (see below), whose sum is σ = 619938. Its totient is φ = 159968.

The previous prime is 319937. The next prime is 319967. The reversal of 319952 is 259913.

It is an interprime number because it is at equal distance from previous prime (319937) and next prime (319967).

It can be written as a sum of positive squares in only one way, i.e., 309136 + 10816 = 556^2 + 104^2 .

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 319952.

It is an unprimeable number.

319952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9983 + ... + 10014.

2³¹⁹⁹⁵² is an apocalyptic number.

It is an amenable number.

319952 is a deficient number, since it is larger than the sum of its proper divisors (299986).

319952 is a wasteful number, since it uses less digits than its factorization.

319952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20005 (or 19999 counting only the distinct ones).

The product of its digits is 2430, while the sum is 29.

The square root of 319952 is about 565.6429969513. The cubic root of 319952 is about 68.3956177442.

The spelling of 319952 in words is "three hundred nineteen thousand, nine hundred fifty-two".