705257 has 12 divisors (see below), whose sum is σ = 844740. Its totient is φ = 586656.

The previous prime is 705247. The next prime is 705259. The reversal of 705257 is 752507.

705257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 414736 + 290521 = 644^2 + 539^2 .

It is not a de Polignac number, because 705257 - 2¹⁰ = 704233 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705259) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1619 + ... + 2007.

It is an arithmetic number, because the mean of its divisors is an integer number (70395).

2⁷⁰⁵²⁵⁷ is an apocalyptic number.

It is an amenable number.

705257 is a deficient number, since it is larger than the sum of its proper divisors (139483).

705257 is a wasteful number, since it uses less digits than its factorization.

705257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 26.

The square root of 705257 is about 839.7958085154. The cubic root of 705257 is about 89.0121180318.

Adding to 705257 its product of nonzero digits (2450), we get a palindrome (707707).

The spelling of 705257 in words is "seven hundred five thousand, two hundred fifty-seven".