312005925 has 288 divisors, whose sum is σ = 779950080. Its totient is φ = 119750400.

The previous prime is 312005909. The next prime is 312005929. The reversal of 312005925 is 529500213.

It is not a de Polignac number, because 312005925 - 2⁴ = 312005909 is a prime.

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 (312005929) 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 287 ways as a sum of consecutive naturals, for example, 10758811 + ... + 10758839.

It is an arithmetic number, because the mean of its divisors is an integer number (2708160).

Almost surely, 2^312005925 is an apocalyptic number.

312005925 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

312005925 is an abundant number, since it is smaller than the sum of its proper divisors (467944155).

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

312005925 is a wasteful number, since it uses less digits than its factorization.

312005925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 312005925 is about 17663.6894503951. The cubic root of 312005925 is about 678.2465819363.

The spelling of 312005925 in words is "three hundred twelve million, five thousand, nine hundred twenty-five".