36993 has 16 divisors (see below), whose sum is σ = 57600. Its totient is φ = 20880.

The previous prime is 36979. The next prime is 36997. The reversal of 36993 is 39963.

Subtracting from 36993 its sum of digits (30), we obtain a palindrome (36963).

It can be divided in two parts, 3 and 6993, that added together give a palindrome (6996).

It is not a de Polignac number, because 36993 - 2^{6} = 36929 is a prime.

36993 is a lucky number.

It is a self number, because there is not a number *n* which added to its sum of digits gives 36993.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 36993.

It is not an unprimeable number, because it can be changed into a prime (36997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 598 + ... + 656.

It is an arithmetic number, because the mean of its divisors is an integer number (3600).

2^{36993} is an apocalyptic number.

36993 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

36993 is a deficient number, since it is larger than the sum of its proper divisors (20607).

36993 is a wasteful number, since it uses less digits than its factorization.

36993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92.

The product of its digits is 4374, while the sum is 30.

The square root of 36993 is about 192.3356441225. The cubic root of 36993 is about 33.3201169828.

The spelling of 36993 in words is "thirty-six thousand, nine hundred ninety-three".

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