830468961 has 12 divisors (see below), whose sum is σ = 1370932992. Its totient is φ = 474553656.

The previous prime is 830468941. The next prime is 830468971. The reversal of 830468961 is 169864038.

It is not a de Polignac number, because 830468961 - 2⁷ = 830468833 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (830468941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6590961 + ... + 6591086.

It is an arithmetic number, because the mean of its divisors is an integer number (114244416).

Almost surely, 2^830468961 is an apocalyptic number.

It is an amenable number.

830468961 is a deficient number, since it is larger than the sum of its proper divisors (540464031).

830468961 is a wasteful number, since it uses less digits than its factorization.

830468961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13182060 (or 13182057 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 830468961 is about 28817.8583694209. The cubic root of 830468961 is about 939.9566001541.

The spelling of 830468961 in words is "eight hundred thirty million, four hundred sixty-eight thousand, nine hundred sixty-one".