36005633 has 2 divisors, whose sum is σ = 36005634. Its totient is φ = 36005632.

The previous prime is 36005581. The next prime is 36005639. The reversal of 36005633 is 33650063.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24930049 + 11075584 = 4993^2 + 3328^2 .

It is a cyclic number.

It is not a de Polignac number, because 36005633 - 2⁶ = 36005569 is a prime.

It is not a weakly prime, because it can be changed into another prime (36005639) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18002816 + 18002817.

It is an arithmetic number, because the mean of its divisors is an integer number (18002817).

Almost surely, 2^36005633 is an apocalyptic number.

It is an amenable number.

36005633 is a deficient number, since it is larger than the sum of its proper divisors (1).

36005633 is an equidigital number, since it uses as much as digits as its factorization.

36005633 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4860, while the sum is 26.

The square root of 36005633 is about 6000.4693983054. The cubic root of 36005633 is about 330.2099459878.

Adding to 36005633 its reverse (33650063), we get a palindrome (69655696).

The spelling of 36005633 in words is "thirty-six million, five thousand, six hundred thirty-three".