313467 has 32 divisors (see below), whose sum is σ = 552960. Its totient is φ = 153120.

The previous prime is 313409. The next prime is 313471. The reversal of 313467 is 764313.

It is not a de Polignac number, because 313467 - 2⁸ = 313211 is a prime.

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 313467.

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 31 ways as a sum of consecutive naturals, for example, 5284 + ... + 5342.

It is an arithmetic number, because the mean of its divisors is an integer number (17280).

2³¹³⁴⁶⁷ is an apocalyptic number.

313467 is a deficient number, since it is larger than the sum of its proper divisors (239493).

313467 is a wasteful number, since it uses less digits than its factorization.

313467 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103.

The product of its digits is 1512, while the sum is 24.

The square root of 313467 is about 559.8812374066. The cubic root of 313467 is about 67.9303641227.

It can be divided in two parts, 313 and 467, that added together give a triangular number (780 = T₃₉).

The spelling of 313467 in words is "three hundred thirteen thousand, four hundred sixty-seven".