36850 has 24 divisors (see below), whose sum is σ = 75888. Its totient is φ = 13200.

The previous prime is 36847. The next prime is 36857. The reversal of 36850 is 5863.

36850 is nontrivially palindromic in base 4.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (36857) 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, 517 + ... + 583.

It is an arithmetic number, because the mean of its divisors is an integer number (3162).

36850 is a Friedman number, since it can be written as 50*(8+3^6), using all its digits and the basic arithmetic operations.

2³⁶⁸⁵⁰ is an apocalyptic number.

36850 is an abundant number, since it is smaller than the sum of its proper divisors (39038).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37944).

36850 is a wasteful number, since it uses less digits than its factorization.

36850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 36850 is about 191.9635382045. The cubic root of 36850 is about 33.2771275026.

The spelling of 36850 in words is "thirty-six thousand, eight hundred fifty".