312210164 has 36 divisors (see below), whose sum is σ = 641553696. Its totient is φ = 132544944.

The previous prime is 312210163. The next prime is 312210191. The reversal of 312210164 is 461012213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312210163) 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, 13529 + ... + 28415.

It is an arithmetic number, because the mean of its divisors is an integer number (17820936).

Almost surely, 2^312210164 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 312210164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320776848).

312210164 is an abundant number, since it is smaller than the sum of its proper divisors (329343532).

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

312210164 is a wasteful number, since it uses less digits than its factorization.

312210164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15012 (or 15003 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 312210164 is about 17669.4698279264. The cubic root of 312210164 is about 678.3945430032.

Adding to 312210164 its reverse (461012213), we get a palindrome (773222377).

The spelling of 312210164 in words is "three hundred twelve million, two hundred ten thousand, one hundred sixty-four".