10735633 has 2 divisors, whose sum is σ = 10735634. Its totient is φ = 10735632.

The previous prime is 10735603. The next prime is 10735649. The reversal of 10735633 is 33653701.

10735633 is digitally balanced in base 3, 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., 10712529 + 23104 = 3273^2 + 152^2 .

It is a cyclic number.

It is not a de Polignac number, because 10735633 - 2⁵ = 10735601 is a prime.

It is not a weakly prime, because it can be changed into another prime (10735603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5367816 + 5367817.

It is an arithmetic number, because the mean of its divisors is an integer number (5367817).

Almost surely, 2^10735633 is an apocalyptic number.

It is an amenable number.

10735633 is a deficient number, since it is larger than the sum of its proper divisors (1).

10735633 is an equidigital number, since it uses as much as digits as its factorization.

10735633 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5670, while the sum is 28.

The square root of 10735633 is about 3276.5275826704. The cubic root of 10735633 is about 220.6018848952.

The spelling of 10735633 in words is "ten million, seven hundred thirty-five thousand, six hundred thirty-three".