319658641 has 9 divisors (see below), whose sum is σ = 337727163. Its totient is φ = 302512680.

The previous prime is 319658629. The next prime is 319658653. The reversal of 319658641 is 146856913.

The square root of 319658641 is 17879.

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

It is an interprime number because it is at equal distance from previous prime (319658629) and next prime (319658653).

It can be written as a sum of positive squares in only one way, i.e., 198218241 + 121440400 = 14079^2 + 11020^2 .

It is not a de Polignac number, because 319658641 - 2⁷ = 319658513 is a prime.

It is a Duffinian number.

Its product of digits (155520) is a multiple of the sum of its prime divisors (960).

It is not an unprimeable number, because it can be changed into a prime (319658621) 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 8 ways as a sum of consecutive naturals, for example, 339231 + ... + 340171.

Almost surely, 2^319658641 is an apocalyptic number.

319658641 is the 17879-th square number.

319658641 is the 8940-th centered octagonal number.

It is an amenable number.

319658641 is a deficient number, since it is larger than the sum of its proper divisors (18068522).

319658641 is an frugal number, since it uses more digits than its factorization.

319658641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 960 counting only the distinct ones).

The product of its digits is 155520, while the sum is 43.

The cubic root of 319658641 is about 683.7470772702.

The spelling of 319658641 in words is "three hundred nineteen million, six hundred fifty-eight thousand, six hundred forty-one".