36897 has 12 divisors (see below), whose sum is σ = 57456. Its totient is φ = 21000.

The previous prime is 36887. The next prime is 36899. The reversal of 36897 is 79863.

It is a happy number.

It is not a de Polignac number, because 36897 - 2⁶ = 36833 is a prime.

It is a super-2 number, since 2×36897² = 2722777218, which contains 22 as substring.

36897 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36897.

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 11 ways as a sum of consecutive naturals, for example, 22 + ... + 272.

It is an arithmetic number, because the mean of its divisors is an integer number (4788).

2³⁶⁸⁹⁷ is an apocalyptic number.

It is an amenable number.

36897 is a deficient number, since it is larger than the sum of its proper divisors (20559).

36897 is a wasteful number, since it uses less digits than its factorization.

36897 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 261 counting only the distinct ones).

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

The square root of 36897 is about 192.0859182762. The cubic root of 36897 is about 33.2912691627.

Subtracting from 36897 its sum of digits (33), we obtain a square (36864 = 192²).

It can be divided in two parts, 368 and 97, that added together give a triangular number (465 = T₃₀).

The spelling of 36897 in words is "thirty-six thousand, eight hundred ninety-seven".