319944769 has 9 divisors (see below), whose sum is σ = 331172451. Its totient is φ = 309087360.

The previous prime is 319944763. The next prime is 319944773. The reversal of 319944769 is 967449913.

The square root of 319944769 is 17887.

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., 317730625 + 2214144 = 17825^2 + 1488^2 .

It is not a de Polignac number, because 319944769 - 2³ = 319944761 is a prime.

It is a super-2 number, since 2×319944769² = 204729310420926722, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (319944761) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 554209 + ... + 554785.

It is an arithmetic number, because the mean of its divisors is an integer number (36796939).

Almost surely, 2^319944769 is an apocalyptic number.

319944769 is the 17887-th square number.

319944769 is the 8944-th centered octagonal number.

It is an amenable number.

319944769 is a deficient number, since it is larger than the sum of its proper divisors (11227682).

319944769 is an frugal number, since it uses more digits than its factorization.

319944769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 608 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 52.

The cubic root of 319944769 is about 683.9510248725.

It can be divided in two parts, 31994 and 4769, that added together give a palindrome (36763).

The spelling of 319944769 in words is "three hundred nineteen million, nine hundred forty-four thousand, seven hundred sixty-nine".