705072713 has 8 divisors (see below), whose sum is σ = 716090760. Its totient is φ = 694137600.

The previous prime is 705072707. The next prime is 705072749. The reversal of 705072713 is 317270507.

It can be written as a sum of positive squares in 4 ways, for example, as 212809744 + 492262969 = 14588^2 + 22187^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 705072713 - 2¹⁸ = 704810569 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 705072713.

It is not an unprimeable number, because it can be changed into a prime (705072793) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3488 + ... + 37713.

It is an arithmetic number, because the mean of its divisors is an integer number (89511345).

Almost surely, 2^705072713 is an apocalyptic number.

It is an amenable number.

705072713 is a deficient number, since it is larger than the sum of its proper divisors (11018047).

705072713 is a wasteful number, since it uses less digits than its factorization.

705072713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41467.

The product of its (nonzero) digits is 10290, while the sum is 32.

The square root of 705072713 is about 26553.2053244048. The cubic root of 705072713 is about 890.0436426017.

The spelling of 705072713 in words is "seven hundred five million, seventy-two thousand, seven hundred thirteen".