312821964 has 288 divisors, whose sum is σ = 1063310976. Its totient is φ = 75202560.

The previous prime is 312821959. The next prime is 312822017. The reversal of 312821964 is 469128213.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2283304 + ... + 2283440.

It is an arithmetic number, because the mean of its divisors is an integer number (3692052).

Almost surely, 2^312821964 is an apocalyptic number.

312821964 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312821964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531655488).

312821964 is an abundant number, since it is smaller than the sum of its proper divisors (750489012).

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

312821964 is a wasteful number, since it uses less digits than its factorization.

312821964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 220 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 312821964 is about 17686.7737024026. The cubic root of 312821964 is about 678.8373760922.

The spelling of 312821964 in words is "three hundred twelve million, eight hundred twenty-one thousand, nine hundred sixty-four".