313424 has 20 divisors (see below), whose sum is σ = 639840. Its totient is φ = 148320.

The previous prime is 313409. The next prime is 313471. The reversal of 313424 is 424313.

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

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 313424.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 212 + ... + 819.

It is an arithmetic number, because the mean of its divisors is an integer number (31992).

2³¹³⁴²⁴ is an apocalyptic number.

It is an amenable number.

313424 is an abundant number, since it is smaller than the sum of its proper divisors (326416).

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

313424 is a wasteful number, since it uses less digits than its factorization.

313424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1052 counting only the distinct ones).

The product of its digits is 288, while the sum is 17.

The square root of 313424 is about 559.8428350886. The cubic root of 313424 is about 67.9272578529.

Adding to 313424 its reverse (424313), we get a palindrome (737737).

Subtracting 313424 from its reverse (424313), we obtain a square (110889 = 333²).

It can be divided in two parts, 313 and 424, that added together give a palindrome (737).

The spelling of 313424 in words is "three hundred thirteen thousand, four hundred twenty-four".