312520 has 32 divisors (see below), whose sum is σ = 758520. Its totient is φ = 115200.

The previous prime is 312517. The next prime is 312527. The reversal of 312520 is 25213.

It can be written as a sum of positive squares in 4 ways, for example, as 248004 + 64516 = 498^2 + 254^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 312520.

It is not an unprimeable number, because it can be changed into a prime (312527) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 220 + ... + 820.

312520 is a Friedman number, since it can be written as 20*(5^(3*2)+1), using all its digits and the basic arithmetic operations.

2³¹²⁵²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379260).

312520 is an abundant number, since it is smaller than the sum of its proper divisors (446000).

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

312520 is a wasteful number, since it uses less digits than its factorization.

312520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 312520 is about 559.0348826326. The cubic root of 312520 is about 67.8618880734.

Adding to 312520 its reverse (25213), we get a palindrome (337733).

It can be divided in two parts, 3125 and 20, that multiplied together give a square (62500 = 250²).

The spelling of 312520 in words is "three hundred twelve thousand, five hundred twenty".