312552 has 32 divisors (see below), whose sum is σ = 868800. Its totient is φ = 104112.

The previous prime is 312551. The next prime is 312553. The reversal of 312552 is 255213.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (312551) and next prime (312553).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 312552.

It is not an unprimeable number, because it can be changed into a prime (312551) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 508 + ... + 939.

It is an arithmetic number, because the mean of its divisors is an integer number (27150).

2³¹²⁵⁵² is an apocalyptic number.

It is an amenable number.

312552 is an abundant number, since it is smaller than the sum of its proper divisors (556248).

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

312552 is a wasteful number, since it uses less digits than its factorization.

312552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1452 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 312552 is about 559.0635026542. The cubic root of 312552 is about 67.8642041985.

Adding to 312552 its reverse (255213), we get a palindrome (567765).

The spelling of 312552 in words is "three hundred twelve thousand, five hundred fifty-two".