36653 has 2 divisors, whose sum is σ = 36654. Its totient is φ = 36652.

The previous prime is 36643. The next prime is 36671. The reversal of 36653 is 35663.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29929 + 6724 = 173^2 + 82^2 .

36653 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 36653 - 2⁴ = 36637 is a prime.

It is a Chen prime.

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 36653.

It is not a weakly prime, because it can be changed into another prime (36643) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18326 + 18327.

It is an arithmetic number, because the mean of its divisors is an integer number (18327).

2³⁶⁶⁵³ is an apocalyptic number.

It is an amenable number.

36653 is a deficient number, since it is larger than the sum of its proper divisors (1).

36653 is an equidigital number, since it uses as much as digits as its factorization.

36653 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1620, while the sum is 23.

The square root of 36653 is about 191.4497323059. The cubic root of 36653 is about 33.2177217043.

Subtracting from 36653 its reverse (35663), we obtain a triangular number (990 = T₄₄).

The spelling of 36653 in words is "thirty-six thousand, six hundred fifty-three".