791128129 has 9 divisors (see below), whose sum is σ = 869927331. Its totient is φ = 718926120.

The previous prime is 791128127. The next prime is 791128139. The reversal of 791128129 is 921821197.

The square root of 791128129 is 28127.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 339480625 + 451647504 = 18425^2 + 21252^2 .

It is not a de Polignac number, because 791128129 - 2¹ = 791128127 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 791128091 and 791128100.

It is not an unprimeable number, because it can be changed into a prime (791128123) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 308119 + ... + 310675.

Almost surely, 2^791128129 is an apocalyptic number.

791128129 is the 28127-th square number.

791128129 is the 14064-th centered octagonal number.

It is an amenable number.

791128129 is a deficient number, since it is larger than the sum of its proper divisors (78799202).

791128129 is an frugal number, since it uses more digits than its factorization.

791128129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5136 (or 2568 counting only the distinct ones).

The product of its digits is 18144, while the sum is 40.

The cubic root of 791128129 is about 924.8733711245.

The spelling of 791128129 in words is "seven hundred ninety-one million, one hundred twenty-eight thousand, one hundred twenty-nine".