313962 has 32 divisors (see below), whose sum is σ = 705024. Its totient is φ = 92400.

The previous prime is 313961. The next prime is 313969. The reversal of 313962 is 269313.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313962.

It is not an unprimeable number, because it can be changed into a prime (313961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4387 + ... + 4457.

It is an arithmetic number, because the mean of its divisors is an integer number (22032).

2³¹³⁹⁶² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352512).

313962 is an abundant number, since it is smaller than the sum of its proper divisors (391062).

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

313962 is a wasteful number, since it uses less digits than its factorization.

313962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154.

The product of its digits is 972, while the sum is 24.

The square root of 313962 is about 560.3231210650. The cubic root of 313962 is about 67.9661019050.

It can be divided in two parts, 313 and 962, that added together give a triangular number (1275 = T₅₀).

The spelling of 313962 in words is "three hundred thirteen thousand, nine hundred sixty-two".