961633 has 2 divisors, whose sum is σ = 961634. Its totient is φ = 961632.

The previous prime is 961627. The next prime is 961637. The reversal of 961633 is 336169.

961633 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., 529984 + 431649 = 728^2 + 657^2 .

It is a cyclic number.

It is not a de Polignac number, because 961633 - 2⁵ = 961601 is a prime.

961633 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (961637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 480816 + 480817.

It is an arithmetic number, because the mean of its divisors is an integer number (480817).

2⁹⁶¹⁶³³ is an apocalyptic number.

It is an amenable number.

961633 is a deficient number, since it is larger than the sum of its proper divisors (1).

961633 is an equidigital number, since it uses as much as digits as its factorization.

961633 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2916, while the sum is 28.

The square root of 961633 is about 980.6288798521. The cubic root of 961633 is about 98.7043863472.

The spelling of 961633 in words is "nine hundred sixty-one thousand, six hundred thirty-three".