312533 has 8 divisors (see below), whose sum is σ = 348600. Its totient is φ = 278208.

The previous prime is 312527. The next prime is 312551. The reversal of 312533 is 335213.

It can be written as a sum of positive squares in 4 ways, for example, as 18769 + 293764 = 137^2 + 542^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 312533 - 2⁴ = 312517 is a prime.

It is a Duffinian number.

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 312533.

It is not an unprimeable number, because it can be changed into a prime (312553) 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, 38 + ... + 791.

It is an arithmetic number, because the mean of its divisors is an integer number (43575).

2³¹²⁵³³ is an apocalyptic number.

It is an amenable number.

312533 is a deficient number, since it is larger than the sum of its proper divisors (36067).

312533 is a wasteful number, since it uses less digits than its factorization.

312533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871.

The product of its digits is 270, while the sum is 17.

The square root of 312533 is about 559.0465096931. The cubic root of 312533 is about 67.8628290183.

Adding to 312533 its reverse (335213), we get a palindrome (647746).

The spelling of 312533 in words is "three hundred twelve thousand, five hundred thirty-three".