83187 has 20 divisors (see below), whose sum is σ = 135520. Its totient is φ = 50544.

The previous prime is 83177. The next prime is 83203. The reversal of 83187 is 78138.

It is not a de Polignac number, because 83187 - 2⁷ = 83059 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a plaindrome in base 14 and base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 83187.

It is not an unprimeable number, because it can be changed into a prime (83117) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1014 + ... + 1092.

It is an arithmetic number, because the mean of its divisors is an integer number (6776).

2⁸³¹⁸⁷ is an apocalyptic number.

83187 is a deficient number, since it is larger than the sum of its proper divisors (52333).

83187 is a wasteful number, since it uses less digits than its factorization.

83187 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 95 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 83187 is about 288.4215664613. The cubic root of 83187 is about 43.6534414688.

83187 divided by its sum of digits (27) gives a triangular number (3081 = T₇₈).

The spelling of 83187 in words is "eighty-three thousand, one hundred eighty-seven".