312404213 has 12 divisors (see below), whose sum is σ = 361462080. Its totient is φ = 269054280.

The previous prime is 312404179. The next prime is 312404219.

312404213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312404213 - 2⁶ = 312404149 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312404219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65645 + ... + 70242.

It is an arithmetic number, because the mean of its divisors is an integer number (30121840).

Almost surely, 2^312404213 is an apocalyptic number.

It is an amenable number.

312404213 is a deficient number, since it is larger than the sum of its proper divisors (49057867).

312404213 is a wasteful number, since it uses less digits than its factorization.

312404213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135928 (or 135917 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 312404213 is about 17674.9600565320. The cubic root of 312404213 is about 678.5350621513.

It can be divided in two parts, 31240 and 4213, that added together give a palindrome (35453).

The spelling of 312404213 in words is "three hundred twelve million, four hundred four thousand, two hundred thirteen".