712137105 has 12 divisors (see below), whose sum is σ = 1234371060. Its totient is φ = 379806432.

The previous prime is 712137031. The next prime is 712137199. The reversal of 712137105 is 501731217.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 413227584 + 298909521 = 20328^2 + 17289^2 .

It is not a de Polignac number, because 712137105 - 2¹¹ = 712135057 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7912590 + ... + 7912679.

It is an arithmetic number, because the mean of its divisors is an integer number (102864255).

Almost surely, 2^712137105 is an apocalyptic number.

It is an amenable number.

712137105 is a deficient number, since it is larger than the sum of its proper divisors (522233955).

712137105 is a wasteful number, since it uses less digits than its factorization.

712137105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15825280 (or 15825277 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 712137105 is about 26685.8971181409. The cubic root of 712137105 is about 893.0063318125.

The spelling of 712137105 in words is "seven hundred twelve million, one hundred thirty-seven thousand, one hundred five".