83687 has 4 divisors (see below), whose sum is σ = 85320. Its totient is φ = 82056.

The previous prime is 83663. The next prime is 83689. The reversal of 83687 is 78638.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 83687 - 2⁸ = 83431 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 83687.

It is not an unprimeable number, because it can be changed into a prime (83689) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 737 + ... + 842.

It is an arithmetic number, because the mean of its divisors is an integer number (21330).

2⁸³⁶⁸⁷ is an apocalyptic number.

83687 is a deficient number, since it is larger than the sum of its proper divisors (1633).

83687 is a wasteful number, since it uses less digits than its factorization.

83687 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632.

The product of its digits is 8064, while the sum is 32.

The square root of 83687 is about 289.2870546706. The cubic root of 83687 is about 43.7407272865.

The spelling of 83687 in words is "eighty-three thousand, six hundred eighty-seven".