814531657 has 2 divisors, whose sum is σ = 814531658. Its totient is φ = 814531656.

The previous prime is 814531561. The next prime is 814531673. The reversal of 814531657 is 756135418.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 422055936 + 392475721 = 20544^2 + 19811^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-814531657 is a prime.

It is equal to p_41854918 and since 814531657 and 41854918 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (814531057) 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 as a sum of consecutive naturals, namely, 407265828 + 407265829.

It is an arithmetic number, because the mean of its divisors is an integer number (407265829).

Almost surely, 2^814531657 is an apocalyptic number.

It is an amenable number.

814531657 is a deficient number, since it is larger than the sum of its proper divisors (1).

814531657 is an equidigital number, since it uses as much as digits as its factorization.

814531657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 100800, while the sum is 40.

The square root of 814531657 is about 28540.0009985984. Note that the first 3 decimals coincide. The cubic root of 814531657 is about 933.9049041377.

The spelling of 814531657 in words is "eight hundred fourteen million, five hundred thirty-one thousand, six hundred fifty-seven".