312013329 has 16 divisors (see below), whose sum is σ = 419328000. Its totient is φ = 206361216.

The previous prime is 312013313. The next prime is 312013337. The reversal of 312013329 is 923310213.

It is not a de Polignac number, because 312013329 - 2⁴ = 312013313 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 312013299 and 312013308.

It is not an unprimeable number, because it can be changed into a prime (312013309) 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, 243312 + ... + 244590.

It is an arithmetic number, because the mean of its divisors is an integer number (26208000).

Almost surely, 2^312013329 is an apocalyptic number.

It is an amenable number.

312013329 is a deficient number, since it is larger than the sum of its proper divisors (107314671).

312013329 is a wasteful number, since it uses less digits than its factorization.

312013329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1864.

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 312013329 is about 17663.8990316408. The cubic root of 312013329 is about 678.2519468963.

The spelling of 312013329 in words is "three hundred twelve million, thirteen thousand, three hundred twenty-nine".