706257 has 12 divisors (see below), whose sum is σ = 1031940. Its totient is φ = 465408.

The previous prime is 706253. The next prime is 706267. The reversal of 706257 is 752607.

706257 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 484416 + 221841 = 696^2 + 471^2 .

It is not a de Polignac number, because 706257 - 2² = 706253 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 706257.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 706257.

It is not an unprimeable number, because it can be changed into a prime (706253) 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, 469 + ... + 1277.

It is an arithmetic number, because the mean of its divisors is an integer number (85995).

2⁷⁰⁶²⁵⁷ is an apocalyptic number.

It is an amenable number.

706257 is a deficient number, since it is larger than the sum of its proper divisors (325683).

706257 is a wasteful number, since it uses less digits than its factorization.

706257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 706257 is about 840.3909804371. The cubic root of 706257 is about 89.0541689345.

The spelling of 706257 in words is "seven hundred six thousand, two hundred fifty-seven".