36895 has 8 divisors (see below), whose sum is σ = 45504. Its totient is φ = 28704.

The previous prime is 36887. The next prime is 36899. The reversal of 36895 is 59863.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 36895 - 2³ = 36887 is a prime.

It is a super-2 number, since 2×36895² = 2722482050, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157 + ... + 313.

It is an arithmetic number, because the mean of its divisors is an integer number (5688).

2³⁶⁸⁹⁵ is an apocalyptic number.

36895 is the 157-th pentagonal number.

36895 is a deficient number, since it is larger than the sum of its proper divisors (8609).

36895 is a wasteful number, since it uses less digits than its factorization.

36895 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209.

The product of its digits is 6480, while the sum is 31.

The square root of 36895 is about 192.0807122019. The cubic root of 36895 is about 33.2906676347.

Subtracting from 36895 its sum of digits (31), we obtain a square (36864 = 192²).

The spelling of 36895 in words is "thirty-six thousand, eight hundred ninety-five".