36629 has 2 divisors, whose sum is σ = 36630. Its totient is φ = 36628.

The previous prime is 36607. The next prime is 36637. The reversal of 36629 is 92663.

36629 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36100 + 529 = 190^2 + 23^2 .

It is a cyclic number.

It is not a de Polignac number, because 36629 - 2⁸ = 36373 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 36598 and 36607.

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 36629.

It is not a weakly prime, because it can be changed into another prime (36229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18314 + 18315.

It is an arithmetic number, because the mean of its divisors is an integer number (18315).

2³⁶⁶²⁹ is an apocalyptic number.

It is an amenable number.

36629 is a deficient number, since it is larger than the sum of its proper divisors (1).

36629 is an equidigital number, since it uses as much as digits as its factorization.

36629 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1944, while the sum is 26.

The square root of 36629 is about 191.3870424036. The cubic root of 36629 is about 33.2104699160.

The spelling of 36629 in words is "thirty-six thousand, six hundred twenty-nine".