711828117 has 96 divisors (see below), whose sum is σ = 1394055936. Its totient is φ = 340813440.

The previous prime is 711828071. The next prime is 711828119.

711828117 is nontrivially palindromic in base 10.

711828117 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 711828117 - 2⁶ = 711828053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (711828119) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1089763 + ... + 1090415.

It is an arithmetic number, because the mean of its divisors is an integer number (14521416).

Almost surely, 2^711828117 is an apocalyptic number.

711828117 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

711828117 is a deficient number, since it is larger than the sum of its proper divisors (682227819).

711828117 is a wasteful number, since it uses less digits than its factorization.

711828117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 687 counting only the distinct ones).

The product of its digits is 6272, while the sum is 36.

The square root of 711828117 is about 26680.1071399648. The cubic root of 711828117 is about 892.8771581110.

It can be divided in two parts, 711828 and 117, that multiplied together give a square (83283876 = 9126²).

The spelling of 711828117 in words is "seven hundred eleven million, eight hundred twenty-eight thousand, one hundred seventeen".