93687 has 16 divisors (see below), whose sum is σ = 145152. Its totient is φ = 53120.

The previous prime is 93683. The next prime is 93701. The reversal of 93687 is 78639.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 93687 - 2² = 93683 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nialpdrome in base 11.

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 93687.

It is not an unprimeable number, because it can be changed into a prime (93683) 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 15 ways as a sum of consecutive naturals, for example, 478 + ... + 644.

It is an arithmetic number, because the mean of its divisors is an integer number (9072).

2⁹³⁶⁸⁷ is an apocalyptic number.

93687 is a deficient number, since it is larger than the sum of its proper divisors (51465).

93687 is a wasteful number, since it uses less digits than its factorization.

93687 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198.

The product of its digits is 9072, while the sum is 33.

The square root of 93687 is about 306.0833219893. The cubic root of 93687 is about 45.4178366652.

It can be divided in two parts, 93 and 687, that added together give a triangular number (780 = T₃₉).

The spelling of 93687 in words is "ninety-three thousand, six hundred eighty-seven".