36891 has 6 divisors (see below), whose sum is σ = 53300. Its totient is φ = 24588.

The previous prime is 36887. The next prime is 36899. The reversal of 36891 is 19863.

It is not a de Polignac number, because 36891 - 2² = 36887 is a prime.

It is a Duffinian number.

36891 is a lucky number.

It is a nialpdrome in base 9 and base 14.

It is a zygodrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36891.

It is not an unprimeable number, because it can be changed into a prime (36899) 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, 2041 + ... + 2058.

2³⁶⁸⁹¹ is an apocalyptic number.

36891 is a deficient number, since it is larger than the sum of its proper divisors (16409).

36891 is a wasteful number, since it uses less digits than its factorization.

36891 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4105 (or 4102 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 36891 is about 192.0702996301. The cubic root of 36891 is about 33.2894645133.

Subtracting from 36891 its sum of digits (27), we obtain a square (36864 = 192²).

The spelling of 36891 in words is "thirty-six thousand, eight hundred ninety-one".