36936 has 48 divisors (see below), whose sum is σ = 109200. Its totient is φ = 11664.

The previous prime is 36931. The next prime is 36943. The reversal of 36936 is 63963.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 6 and base 14.

It is not an unprimeable number, because it can be changed into a prime (36931) by changing a digit.

36936 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 11 ways as a sum of consecutive naturals, for example, 1935 + ... + 1953.

It is an arithmetic number, because the mean of its divisors is an integer number (2275).

2³⁶⁹³⁶ is an apocalyptic number.

36936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54600).

36936 is an abundant number, since it is smaller than the sum of its proper divisors (72264).

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

36936 is a wasteful number, since it uses less digits than its factorization.

36936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 24 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

The square root of 36936 is about 192.1874085366. The cubic root of 36936 is about 33.3029946175.

Adding to 36936 its sum of digits (27), we get a palindrome (36963).

The spelling of 36936 in words is "thirty-six thousand, nine hundred thirty-six".