36643 has 2 divisors, whose sum is σ = 36644. Its totient is φ = 36642.

The previous prime is 36637. The next prime is 36653. The reversal of 36643 is 34663.

36643 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 36643 - 2⁹ = 36131 is a prime.

It is a plaindrome in base 15.

It is not a weakly prime, because it can be changed into another prime (36653) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18321 + 18322.

It is an arithmetic number, because the mean of its divisors is an integer number (18322).

2³⁶⁶⁴³ is an apocalyptic number.

36643 is a deficient number, since it is larger than the sum of its proper divisors (1).

36643 is an equidigital number, since it uses as much as digits as its factorization.

36643 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1296, while the sum is 22.

The square root of 36643 is about 191.4236140083. The cubic root of 36643 is about 33.2147005107.

The spelling of 36643 in words is "thirty-six thousand, six hundred forty-three".