319372641 has 81 divisors (see below), whose sum is σ = 576550611. Its totient is φ = 169845984.

The previous prime is 319372639. The next prime is 319372643. The reversal of 319372641 is 146273913.

The square root of 319372641 is 17871.

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

319372641 is a `hidden beast` number, since 3 + 1 + 9 + 3 + 7 + 2 + 641 = 666.

It is an interprime number because it is at equal distance from previous prime (319372639) and next prime (319372643).

It can be written as a sum of positive squares in only one way, i.e., 285779025 + 33593616 = 16905^2 + 5796^2 .

It is not a de Polignac number, because 319372641 - 2¹ = 319372639 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 319372596 and 319372605.

It is not an unprimeable number, because it can be changed into a prime (319372643) 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 80 ways as a sum of consecutive naturals, for example, 8631675 + ... + 8631711.

Almost surely, 2^319372641 is an apocalyptic number.

319372641 is the 17871-st square number.

319372641 is the 8936-th centered octagonal number.

It is an amenable number.

319372641 is a deficient number, since it is larger than the sum of its proper divisors (257177970).

319372641 is a wasteful number, since it uses less digits than its factorization.

319372641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 70 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The cubic root of 319372641 is about 683.5430992466.

Multiplying 319372641 by its sum of digits (36), we get a square (11497415076 = 107226²).

The spelling of 319372641 in words is "three hundred nineteen million, three hundred seventy-two thousand, six hundred forty-one".