312164145 has 32 divisors (see below), whose sum is σ = 564071040. Its totient is φ = 163753920.

The previous prime is 312164143. The next prime is 312164147. The reversal of 312164145 is 541461213.

It is a happy number.

312164145 is a `hidden beast` number, since 3 + 12 + 1 + 641 + 4 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (312164143) and next prime (312164147).

It is not a de Polignac number, because 312164145 - 2¹ = 312164143 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (312164143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10719 + ... + 27188.

It is an arithmetic number, because the mean of its divisors is an integer number (17627220).

Almost surely, 2^312164145 is an apocalyptic number.

It is an amenable number.

312164145 is a deficient number, since it is larger than the sum of its proper divisors (251906895).

312164145 is a wasteful number, since it uses less digits than its factorization.

312164145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37982 (or 37976 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 312164145 is about 17668.1675620309. The cubic root of 312164145 is about 678.3612101438.

The spelling of 312164145 in words is "three hundred twelve million, one hundred sixty-four thousand, one hundred forty-five".