10757633 has 2 divisors, whose sum is σ = 10757634. Its totient is φ = 10757632.

The previous prime is 10757603. The next prime is 10757641. The reversal of 10757633 is 33675701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5793649 + 4963984 = 2407^2 + 2228^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10757633 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10757633.

It is not a weakly prime, because it can be changed into another prime (10757603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5378816 + 5378817.

It is an arithmetic number, because the mean of its divisors is an integer number (5378817).

Almost surely, 2^10757633 is an apocalyptic number.

It is an amenable number.

10757633 is a deficient number, since it is larger than the sum of its proper divisors (1).

10757633 is an equidigital number, since it uses as much as digits as its factorization.

10757633 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13230, while the sum is 32.

The square root of 10757633 is about 3279.8830771843. The cubic root of 10757633 is about 220.7524715775.

The spelling of 10757633 in words is "ten million, seven hundred fifty-seven thousand, six hundred thirty-three".