961353 has 12 divisors (see below), whose sum is σ = 1397760. Its totient is φ = 636696.

The previous prime is 961339. The next prime is 961393. The reversal of 961353 is 353169.

It is not a de Polignac number, because 961353 - 2⁸ = 961097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (961313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1768 + ... + 2246.

It is an arithmetic number, because the mean of its divisors is an integer number (116480).

2⁹⁶¹³⁵³ is an apocalyptic number.

It is an amenable number.

961353 is a deficient number, since it is larger than the sum of its proper divisors (436407).

961353 is a wasteful number, since it uses less digits than its factorization.

961353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 705 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

The square root of 961353 is about 980.4861039301. The cubic root of 961353 is about 98.6948054533.

The spelling of 961353 in words is "nine hundred sixty-one thousand, three hundred fifty-three".