319419972 has 36 divisors (see below), whose sum is σ = 808163356. Its totient is φ = 106375680.

The previous prime is 319419967. The next prime is 319419977. The reversal of 319419972 is 279914913.

It is an interprime number because it is at equal distance from previous prime (319419967) and next prime (319419977).

It can be written as a sum of positive squares in 2 ways, for example, as 294259716 + 25160256 = 17154^2 + 5016^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (319419977) 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 11 ways as a sum of consecutive naturals, for example, 43272 + ... + 50112.

Almost surely, 2^319419972 is an apocalyptic number.

It is an amenable number.

319419972 is an abundant number, since it is smaller than the sum of its proper divisors (488743384).

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

319419972 is a wasteful number, since it uses less digits than its factorization.

319419972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8148 (or 8143 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 319419972 is about 17872.3241913300. The cubic root of 319419972 is about 683.5768645896.

The spelling of 319419972 in words is "three hundred nineteen million, four hundred nineteen thousand, nine hundred seventy-two".