313428 has 12 divisors (see below), whose sum is σ = 731360. Its totient is φ = 104472.

The previous prime is 313409. The next prime is 313471. The reversal of 313428 is 824313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×313428² = 196474222368, which contains 22 as substring.

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 313428.

It is an unprimeable number.

313428 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13048 + ... + 13071.

2³¹³⁴²⁸ is an apocalyptic number.

It is an amenable number.

313428 is an abundant number, since it is smaller than the sum of its proper divisors (417932).

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

313428 is a wasteful number, since it uses less digits than its factorization.

313428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26126 (or 26124 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 313428 is about 559.8464075083. The cubic root of 313428 is about 67.9275468202.

It can be divided in two parts, 313 and 428, that added together give a triangular number (741 = T₃₈).

The spelling of 313428 in words is "three hundred thirteen thousand, four hundred twenty-eight".