312920091 has 48 divisors (see below), whose sum is σ = 515144448. Its totient is φ = 188244000.

The previous prime is 312920081. The next prime is 312920123. The reversal of 312920091 is 190029213.

It is not a de Polignac number, because 312920091 - 2¹¹ = 312918043 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312920021) 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 47 ways as a sum of consecutive naturals, for example, 446041 + ... + 446741.

It is an arithmetic number, because the mean of its divisors is an integer number (10732176).

Almost surely, 2^312920091 is an apocalyptic number.

312920091 is a deficient number, since it is larger than the sum of its proper divisors (202224357).

312920091 is a wasteful number, since it uses less digits than its factorization.

312920091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 312920091 is about 17689.5475069319. The cubic root of 312920091 is about 678.9083486357.

It can be divided in two parts, 3129 and 20091, that added together give a triangular number (23220 = T₂₁₅).

The spelling of 312920091 in words is "three hundred twelve million, nine hundred twenty thousand, ninety-one".