814424961 has 16 divisors (see below), whose sum is σ = 1242777600. Its totient is φ = 464729808.

The previous prime is 814424957. The next prime is 814424981. The reversal of 814424961 is 169424418.

It is not a de Polignac number, because 814424961 - 2² = 814424957 is a prime.

It is not an unprimeable number, because it can be changed into a prime (814424981) 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 15 ways as a sum of consecutive naturals, for example, 11871 + ... + 42068.

It is an arithmetic number, because the mean of its divisors is an integer number (77673600).

Almost surely, 2^814424961 is an apocalyptic number.

It is an amenable number.

814424961 is a deficient number, since it is larger than the sum of its proper divisors (428352639).

814424961 is a wasteful number, since it uses less digits than its factorization.

814424961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54668.

The product of its digits is 55296, while the sum is 39.

The square root of 814424961 is about 28538.1317012870. The cubic root of 814424961 is about 933.8641247655.

The spelling of 814424961 in words is "eight hundred fourteen million, four hundred twenty-four thousand, nine hundred sixty-one".