712140417 has 28 divisors (see below), whose sum is σ = 1071476644. Its totient is φ = 473091840.

The previous prime is 712140409. The next prime is 712140419. The reversal of 712140417 is 714041217.

It can be written as a sum of positive squares in 2 ways, for example, as 1971216 + 710169201 = 1404^2 + 26649^2 .

It is not a de Polignac number, because 712140417 - 2³ = 712140409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (712140419) 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 27 ways as a sum of consecutive naturals, for example, 226617 + ... + 229737.

It is an arithmetic number, because the mean of its divisors is an integer number (38267023).

Almost surely, 2^712140417 is an apocalyptic number.

It is an amenable number.

712140417 is a deficient number, since it is larger than the sum of its proper divisors (359336227).

712140417 is an equidigital number, since it uses as much as digits as its factorization.

712140417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3452 (or 3437 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 712140417 is about 26685.9591733181. The cubic root of 712140417 is about 893.0077162053.

The spelling of 712140417 in words is "seven hundred twelve million, one hundred forty thousand, four hundred seventeen".