312461361 has 16 divisors (see below), whose sum is σ = 463177920. Its totient is φ = 208185120.

The previous prime is 312461339. The next prime is 312461363. The reversal of 312461361 is 163164213.

It is not a de Polignac number, because 312461361 - 2⁵ = 312461329 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 (312461363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89301 + ... + 92733.

It is an arithmetic number, because the mean of its divisors is an integer number (28948620).

Almost surely, 2^312461361 is an apocalyptic number.

It is an amenable number.

312461361 is a deficient number, since it is larger than the sum of its proper divisors (150716559).

312461361 is a wasteful number, since it uses less digits than its factorization.

312461361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6813 (or 6807 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 312461361 is about 17676.5766199228. The cubic root of 312461361 is about 678.5764343606.

The spelling of 312461361 in words is "three hundred twelve million, four hundred sixty-one thousand, three hundred sixty-one".