187713 has 6 divisors (see below), whose sum is σ = 271154. Its totient is φ = 125136.

The previous prime is 187711. The next prime is 187721. The reversal of 187713 is 317781.

187713 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 186624 + 1089 = 432^2 + 33^2 .

It is not a de Polignac number, because 187713 - 2¹ = 187711 is a prime.

It is a Duffinian number.

187713 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (187711) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10420 + ... + 10437.

2¹⁸⁷⁷¹³ is an apocalyptic number.

It is an amenable number.

187713 is a deficient number, since it is larger than the sum of its proper divisors (83441).

187713 is a wasteful number, since it uses less digits than its factorization.

187713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20863 (or 20860 counting only the distinct ones).

The product of its digits is 1176, while the sum is 27.

The square root of 187713 is about 433.2585832964. The cubic root of 187713 is about 57.2573771822.

It can be divided in two parts, 187 and 713, that multiplied together give a palindrome (133331).

The spelling of 187713 in words is "one hundred eighty-seven thousand, seven hundred thirteen".