36637 has 2 divisors, whose sum is σ = 36638. Its totient is φ = 36636.

The previous prime is 36629. The next prime is 36643. The reversal of 36637 is 73663.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29241 + 7396 = 171^2 + 86^2 .

It is a cyclic number.

It is not a de Polignac number, because 36637 - 2³ = 36629 is a prime.

It is a d-powerful number, because it can be written as 3⁸ + 6³ + 6⁵ + 3⁹ + 7⁴ .

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 36637.

It is not a weakly prime, because it can be changed into another prime (36607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18318 + 18319.

It is an arithmetic number, because the mean of its divisors is an integer number (18319).

2³⁶⁶³⁷ is an apocalyptic number.

It is an amenable number.

36637 is a deficient number, since it is larger than the sum of its proper divisors (1).

36637 is an equidigital number, since it uses as much as digits as its factorization.

36637 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2268, while the sum is 25.

The square root of 36637 is about 191.4079413191. The cubic root of 36637 is about 33.2128875307.

The spelling of 36637 in words is "thirty-six thousand, six hundred thirty-seven".