313437 has 4 divisors (see below), whose sum is σ = 417920. Its totient is φ = 208956.

The previous prime is 313409. The next prime is 313471. The reversal of 313437 is 734313.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 313437 - 2⁶ = 313373 is a prime.

It is a super-3 number, since 3×313437³ = 92378741287033359, which contains 333 as substring.

It is a D-number.

It is a Duffinian 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 313437.

It is not an unprimeable number, because it can be changed into a prime (313477) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52237 + ... + 52242.

It is an arithmetic number, because the mean of its divisors is an integer number (104480).

2³¹³⁴³⁷ is an apocalyptic number.

It is an amenable number.

313437 is a deficient number, since it is larger than the sum of its proper divisors (104483).

313437 is a wasteful number, since it uses less digits than its factorization.

313437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104482.

The product of its digits is 756, while the sum is 21.

The square root of 313437 is about 559.8544453695. The cubic root of 313437 is about 67.9281969877.

The spelling of 313437 in words is "three hundred thirteen thousand, four hundred thirty-seven".