705085257 has 16 divisors (see below), whose sum is σ = 945065088. Its totient is φ = 467589120.

The previous prime is 705085253. The next prime is 705085267. The reversal of 705085257 is 752580507.

705085257 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 705085257 - 2² = 705085253 is a prime.

It is not an unprimeable number, because it can be changed into a prime (705085253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 716788 + ... + 717770.

It is an arithmetic number, because the mean of its divisors is an integer number (59066568).

Almost surely, 2^705085257 is an apocalyptic number.

It is an amenable number.

705085257 is a deficient number, since it is larger than the sum of its proper divisors (239979831).

705085257 is a wasteful number, since it uses less digits than its factorization.

705085257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000.

The product of its (nonzero) digits is 98000, while the sum is 39.

The square root of 705085257 is about 26553.4415283594. The cubic root of 705085257 is about 890.0489208475.

The spelling of 705085257 in words is "seven hundred five million, eighty-five thousand, two hundred fifty-seven".