814129257 has 8 divisors (see below), whose sum is σ = 1089512320. Its totient is φ = 540749520.

The previous prime is 814129249. The next prime is 814129273. The reversal of 814129257 is 752921418.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 814129257 - 2³ = 814129249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (814129247) 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 7 ways as a sum of consecutive naturals, for example, 499882 + ... + 501507.

It is an arithmetic number, because the mean of its divisors is an integer number (136189040).

Almost surely, 2^814129257 is an apocalyptic number.

It is an amenable number.

814129257 is a deficient number, since it is larger than the sum of its proper divisors (275383063).

814129257 is a wasteful number, since it uses less digits than its factorization.

814129257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001663.

The product of its digits is 40320, while the sum is 39.

The square root of 814129257 is about 28532.9503732089. The cubic root of 814129257 is about 933.7510876335.

The spelling of 814129257 in words is "eight hundred fourteen million, one hundred twenty-nine thousand, two hundred fifty-seven".