312133 has 8 divisors (see below), whose sum is σ = 334656. Its totient is φ = 290400.

The previous prime is 312121. The next prime is 312161. The reversal of 312133 is 331213.

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 312133 - 2⁵ = 312101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312233) 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, 778 + ... + 1108.

It is an arithmetic number, because the mean of its divisors is an integer number (41832).

2³¹²¹³³ is an apocalyptic number.

It is an amenable number.

312133 is a deficient number, since it is larger than the sum of its proper divisors (22523).

312133 is a wasteful number, since it uses less digits than its factorization.

312133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395.

The product of its digits is 54, while the sum is 13.

The square root of 312133 is about 558.6886431636. The cubic root of 312133 is about 67.8338649083.

Adding to 312133 its reverse (331213), we get a palindrome (643346).

It can be divided in two parts, 31213 and 3, that multiplied together give a palindrome (93639).

The spelling of 312133 in words is "three hundred twelve thousand, one hundred thirty-three".