312561 has 6 divisors (see below), whose sum is σ = 451490. Its totient is φ = 208368.

The previous prime is 312553. The next prime is 312563. The reversal of 312561 is 165213.

312561 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 176400 + 136161 = 420^2 + 369^2 .

It is not a de Polignac number, because 312561 - 2³ = 312553 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 312561.

It is not an unprimeable number, because it can be changed into a prime (312563) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17356 + ... + 17373.

2³¹²⁵⁶¹ is an apocalyptic number.

It is an amenable number.

312561 is a deficient number, since it is larger than the sum of its proper divisors (138929).

312561 is a wasteful number, since it uses less digits than its factorization.

312561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34735 (or 34732 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 312561 is about 559.0715517713. The cubic root of 312561 is about 67.8648555803.

Adding to 312561 its reverse (165213), we get a palindrome (477774).

The spelling of 312561 in words is "three hundred twelve thousand, five hundred sixty-one".