187890313 has 12 divisors (see below), whose sum is σ = 204260940. Its totient is φ = 172750656.

The previous prime is 187890301. The next prime is 187890319. The reversal of 187890313 is 313098781.

It can be written as a sum of positive squares in 6 ways, for example, as 47775744 + 140114569 = 6912^2 + 11837^2 .

It is not a de Polignac number, because 187890313 - 2⁵ = 187890281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (187890319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43395 + ... + 47527.

It is an arithmetic number, because the mean of its divisors is an integer number (17021745).

Almost surely, 2^187890313 is an apocalyptic number.

187890313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

187890313 is a deficient number, since it is larger than the sum of its proper divisors (16370627).

187890313 is a wasteful number, since it uses less digits than its factorization.

187890313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4428 (or 4415 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The square root of 187890313 is about 13707.3087438782. The cubic root of 187890313 is about 572.7539987704.

The spelling of 187890313 in words is "one hundred eighty-seven million, eight hundred ninety thousand, three hundred thirteen".