725597 has 2 divisors, whose sum is σ = 725598. Its totient is φ = 725596.

The previous prime is 725587. The next prime is 725603. The reversal of 725597 is 795527.

725597 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 662596 + 63001 = 814^2 + 251^2 .

It is an emirp because it is prime and its reverse (795527) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 725597 - 2⁸ = 725341 is a prime.

It is a Chen prime.

It is a d-powerful number, because it can be written as 7⁴ + 2¹⁹ + 5⁵ + 5⁷ + 9 + 7⁶ .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 725597.

It is not a weakly prime, because it can be changed into another prime (725507) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 362798 + 362799.

It is an arithmetic number, because the mean of its divisors is an integer number (362799).

2⁷²⁵⁵⁹⁷ is an apocalyptic number.

It is an amenable number.

725597 is a deficient number, since it is larger than the sum of its proper divisors (1).

725597 is an equidigital number, since it uses as much as digits as its factorization.

725597 is an evil number, because the sum of its binary digits is even.

The product of its digits is 22050, while the sum is 35.

The square root of 725597 is about 851.8198166279. The cubic root of 725597 is about 89.8597403750.

The spelling of 725597 in words is "seven hundred twenty-five thousand, five hundred ninety-seven".