312969125 has 48 divisors (see below), whose sum is σ = 466972272. Its totient is φ = 208656000.

The previous prime is 312969109. The next prime is 312969143. The reversal of 312969125 is 521969213.

It can be written as a sum of positive squares in 8 ways, for example, as 47637604 + 265331521 = 6902^2 + 16289^2 .

It is not a de Polignac number, because 312969125 - 2⁴ = 312969109 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225935 + ... + 227315.

It is an arithmetic number, because the mean of its divisors is an integer number (9728589).

Almost surely, 2^312969125 is an apocalyptic number.

312969125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

312969125 is a deficient number, since it is larger than the sum of its proper divisors (154003147).

312969125 is a wasteful number, since it uses less digits than its factorization.

312969125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1430 counting only the distinct ones).

The product of its digits is 29160, while the sum is 38.

The square root of 312969125 is about 17690.9334123443. The cubic root of 312969125 is about 678.9438080115.

The spelling of 312969125 in words is "three hundred twelve million, nine hundred sixty-nine thousand, one hundred twenty-five".