311329005 has 32 divisors (see below), whose sum is σ = 537567744. Its totient is φ = 152948736.

The previous prime is 311328991. The next prime is 311329043. The reversal of 311329005 is 500923113.

It is a happy number.

It is not a de Polignac number, because 311329005 - 2¹⁴ = 311312621 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 111132 + ... + 113898.

It is an arithmetic number, because the mean of its divisors is an integer number (16798992).

Almost surely, 2^311329005 is an apocalyptic number.

It is an amenable number.

311329005 is a deficient number, since it is larger than the sum of its proper divisors (226238739).

311329005 is a wasteful number, since it uses less digits than its factorization.

311329005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3365.

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 311329005 is about 17644.5177038082. The cubic root of 311329005 is about 677.7557246898.

The spelling of 311329005 in words is "three hundred eleven million, three hundred twenty-nine thousand, five".