312625 has 16 divisors (see below), whose sum is σ = 406224. Its totient is φ = 240000.

The previous prime is 312623. The next prime is 312643. The reversal of 312625 is 526213.

It is a happy number.

312625 is nontrivially palindromic in base 4.

It can be written as a sum of positive squares in 8 ways, for example, as 269361 + 43264 = 519^2 + 208^2 .

It is not a de Polignac number, because 312625 - 2¹ = 312623 is a prime.

It is a super-4 number, since 4×312625⁴ (a number of 23 digits) contains 4444 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5095 + ... + 5155.

It is an arithmetic number, because the mean of its divisors is an integer number (25389).

2³¹²⁶²⁵ is an apocalyptic number.

It is an amenable number.

312625 is a deficient number, since it is larger than the sum of its proper divisors (93599).

312625 is an equidigital number, since it uses as much as digits as its factorization.

312625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 107 counting only the distinct ones).

The product of its digits is 360, while the sum is 19.

The square root of 312625 is about 559.1287865957. The cubic root of 312625 is about 67.8694872675.

Adding to 312625 its reverse (526213), we get a palindrome (838838).

It can be divided in two parts, 312 and 625, that multiplied together give a triangular number (195000 = T₆₂₄).

The spelling of 312625 in words is "three hundred twelve thousand, six hundred twenty-five".