36788 has 12 divisors (see below), whose sum is σ = 68292. Its totient is φ = 17280.

The previous prime is 36787. The next prime is 36791. The reversal of 36788 is 88763.

It can be written as a sum of positive squares in 2 ways, for example, as 21904 + 14884 = 148^2 + 122^2 .

It is a plaindrome in base 10.

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 36788.

It is not an unprimeable number, because it can be changed into a prime (36781) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 203 + ... + 338.

It is an arithmetic number, because the mean of its divisors is an integer number (5691).

2³⁶⁷⁸⁸ is an apocalyptic number.

It is an amenable number.

36788 is a deficient number, since it is larger than the sum of its proper divisors (31504).

36788 is a wasteful number, since it uses less digits than its factorization.

36788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 560 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 36788 is about 191.8019812202. The cubic root of 36788 is about 33.2584541414.

The spelling of 36788 in words is "thirty-six thousand, seven hundred eighty-eight".