961165829 has 16 divisors (see below), whose sum is σ = 1062485424. Its totient is φ = 863846400.

The previous prime is 961165823. The next prime is 961165831. The reversal of 961165829 is 928561169.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9443329 + 951722500 = 3073^2 + 30850^2 .

It is a cyclic number.

It is not a de Polignac number, because 961165829 - 2²⁸ = 692730373 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961165823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314549 + ... + 317589.

It is an arithmetic number, because the mean of its divisors is an integer number (66405339).

Almost surely, 2^961165829 is an apocalyptic number.

It is an amenable number.

961165829 is a deficient number, since it is larger than the sum of its proper divisors (101319595).

961165829 is a wasteful number, since it uses less digits than its factorization.

961165829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3688.

The product of its digits is 233280, while the sum is 47.

The square root of 961165829 is about 31002.6745459162. The cubic root of 961165829 is about 986.8839989631.

The spelling of 961165829 in words is "nine hundred sixty-one million, one hundred sixty-five thousand, eight hundred twenty-nine".