311545164 has 96 divisors (see below), whose sum is σ = 863629312. Its totient is φ = 85536000.

The previous prime is 311545151. The next prime is 311545177. The reversal of 311545164 is 461545113.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (311545151) and next prime (311545177).

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, 470994 + ... + 471654.

Almost surely, 2^311545164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311545164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431814656).

311545164 is an abundant number, since it is smaller than the sum of its proper divisors (552084148).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

311545164 is a wasteful number, since it uses less digits than its factorization.

311545164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 885 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

The square root of 311545164 is about 17650.6420279830. The cubic root of 311545164 is about 677.9125460419.

The spelling of 311545164 in words is "three hundred eleven million, five hundred forty-five thousand, one hundred sixty-four".