313973 has 16 divisors (see below), whose sum is σ = 383616. Its totient is φ = 253440.

The previous prime is 313969. The next prime is 313979. The reversal of 313973 is 379313.

It is not a de Polignac number, because 313973 - 2² = 313969 is a prime.

It is a Duffinian number.

It is a Curzon number.

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 313973.

It is not an unprimeable number, because it can be changed into a prime (313979) 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, 4265 + ... + 4337.

It is an arithmetic number, because the mean of its divisors is an integer number (23976).

2³¹³⁹⁷³ is an apocalyptic number.

It is an amenable number.

313973 is a deficient number, since it is larger than the sum of its proper divisors (69643).

313973 is a wasteful number, since it uses less digits than its factorization.

313973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124.

The product of its digits is 1701, while the sum is 26.

The square root of 313973 is about 560.3329367439. The cubic root of 313973 is about 67.9668956512.

It can be divided in two parts, 31 and 3973, that added together give a palindrome (4004).

The spelling of 313973 in words is "three hundred thirteen thousand, nine hundred seventy-three".