312951132 has 36 divisors (see below), whose sum is σ = 851923800. Its totient is φ = 96292512.

The previous prime is 312951131. The next prime is 312951137. The reversal of 312951132 is 231159213.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×312951132² = 195876822040162848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312951096 and 312951105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312951131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 333882 + ... + 334817.

It is an arithmetic number, because the mean of its divisors is an integer number (23664550).

Almost surely, 2^312951132 is an apocalyptic number.

It is an amenable number.

312951132 is an abundant number, since it is smaller than the sum of its proper divisors (538972668).

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

312951132 is a wasteful number, since it uses less digits than its factorization.

312951132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668722 (or 668717 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 312951132 is about 17690.4248677074. The cubic root of 312951132 is about 678.9307966428.

The spelling of 312951132 in words is "three hundred twelve million, nine hundred fifty-one thousand, one hundred thirty-two".