36894 has 32 divisors (see below), whose sum is σ = 88704. Its totient is φ = 10080.

The previous prime is 36887. The next prime is 36899. The reversal of 36894 is 49863.

It is a super-2 number, since 2×36894² = 2722334472, which contains 22 as substring.

Its product of digits (5184) is a multiple of the sum of its prime divisors (72).

It is a nialpdrome in base 9.

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 36894.

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

36894 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 837 + ... + 879.

It is an arithmetic number, because the mean of its divisors is an integer number (2772).

2³⁶⁸⁹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44352).

36894 is an abundant number, since it is smaller than the sum of its proper divisors (51810).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36894 is a wasteful number, since it uses less digits than its factorization.

36894 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72.

The product of its digits is 5184, while the sum is 30.

The square root of 36894 is about 192.0781091119. The cubic root of 36894 is about 33.2903668625.

Subtracting from 36894 its sum of digits (30), we obtain a square (36864 = 192²).

The spelling of 36894 in words is "thirty-six thousand, eight hundred ninety-four".