312001164 has 72 divisors (see below), whose sum is σ = 830749920. Its totient is φ = 98537472.

The previous prime is 312001133. The next prime is 312001189. The reversal of 312001164 is 461100213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88524 + ... + 91980.

Almost surely, 2^312001164 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 312001164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415374960).

312001164 is an abundant number, since it is smaller than the sum of its proper divisors (518748756).

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

312001164 is a wasteful number, since it uses less digits than its factorization.

312001164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3599 (or 3594 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 312001164 is about 17663.5546818867. The cubic root of 312001164 is about 678.2431320569.

Adding to 312001164 its reverse (461100213), we get a palindrome (773101377).

The spelling of 312001164 in words is "three hundred twelve million, one thousand, one hundred sixty-four".