814516157 has 32 divisors (see below), whose sum is σ = 1031181312. Its totient is φ = 626206464.

The previous prime is 814516147. The next prime is 814516177. The reversal of 814516157 is 751615418.

814516157 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 814516157 - 2⁴ = 814516141 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 814516157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814516117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 670883 + ... + 672095.

It is an arithmetic number, because the mean of its divisors is an integer number (32224416).

Almost surely, 2^814516157 is an apocalyptic number.

It is an amenable number.

814516157 is a deficient number, since it is larger than the sum of its proper divisors (216665155).

814516157 is a wasteful number, since it uses less digits than its factorization.

814516157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437.

The product of its digits is 33600, while the sum is 38.

The square root of 814516157 is about 28539.7294486125. The cubic root of 814516157 is about 933.8989802354.

The spelling of 814516157 in words is "eight hundred fourteen million, five hundred sixteen thousand, one hundred fifty-seven".