814264131 has 16 divisors (see below), whose sum is σ = 1098366464. Its totient is φ = 536523264.

The previous prime is 814264123. The next prime is 814264159. The reversal of 814264131 is 131462418.

It is not a de Polignac number, because 814264131 - 2³ = 814264123 is a prime.

It is a super-2 number, since 2×814264131² = 1326052150066370322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (814264831) 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, 176010 + ... + 180576.

It is an arithmetic number, because the mean of its divisors is an integer number (68647904).

Almost surely, 2^814264131 is an apocalyptic number.

814264131 is a deficient number, since it is larger than the sum of its proper divisors (284102333).

814264131 is a wasteful number, since it uses less digits than its factorization.

814264131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5250.

The product of its digits is 4608, while the sum is 30.

The square root of 814264131 is about 28535.3137533128. The cubic root of 814264131 is about 933.8026485657.

The spelling of 814264131 in words is "eight hundred fourteen million, two hundred sixty-four thousand, one hundred thirty-one".