312122889 has 45 divisors (see below), whose sum is σ = 508248279. Its totient is φ = 190803600.

The previous prime is 312122879. The next prime is 312122891. The reversal of 312122889 is 988221213.

The square root of 312122889 is 17667.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 46172025 + 265950864 = 6795^2 + 16308^2 .

It is not a de Polignac number, because 312122889 - 2¹¹ = 312120841 is a prime.

It is not an unprimeable number, because it can be changed into a prime (312122809) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 2066964 + ... + 2067114.

Almost surely, 2^312122889 is an apocalyptic number.

312122889 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

312122889 is the 17667-th square number.

312122889 is the 8834-th centered octagonal number.

It is an amenable number.

312122889 is a deficient number, since it is larger than the sum of its proper divisors (196125390).

312122889 is an equidigital number, since it uses as much as digits as its factorization.

312122889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 167 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The cubic root of 312122889 is about 678.3313244747.

Multiplying 312122889 by its sum of digits (36), we get a square (11236424004 = 106002²).

It can be divided in two parts, 312 and 122889, that added together give a square (123201 = 351²).

The spelling of 312122889 in words is "three hundred twelve million, one hundred twenty-two thousand, eight hundred eighty-nine".