313992 has 72 divisors (see below), whose sum is σ = 1000350. Its totient is φ = 88704.

The previous prime is 313991. The next prime is 313993. The reversal of 313992 is 299313.

313992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (313991) and next prime (313993).

It can be written as a sum of positive squares in only one way, i.e., 298116 + 15876 = 546^2 + 126^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×313992³ = 92870333268862464, which contains 333 as substring.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313992.

It is not an unprimeable number, because it can be changed into a prime (313991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3484 + ... + 3572.

2³¹³⁹⁹² 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 313992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500175).

313992 is an abundant number, since it is smaller than the sum of its proper divisors (686358).

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

313992 is a wasteful number, since it uses less digits than its factorization.

313992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 101 counting only the distinct ones).

The product of its digits is 1458, while the sum is 27.

The square root of 313992 is about 560.3498906933. The cubic root of 313992 is about 67.9682666236.

The spelling of 313992 in words is "three hundred thirteen thousand, nine hundred ninety-two".