725897 has 2 divisors, whose sum is σ = 725898. Its totient is φ = 725896.

The previous prime is 725891. The next prime is 725909. The reversal of 725897 is 798527.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 546121 + 179776 = 739^2 + 424^2 .

It is an emirp because it is prime and its reverse (798527) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 725897 - 2¹⁸ = 463753 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 725897.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 725897.

It is not a weakly prime, because it can be changed into another prime (725891) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 362948 + 362949.

It is an arithmetic number, because the mean of its divisors is an integer number (362949).

725897 is a Friedman number, since it can be written as 852^(9-7)-7, using all its digits and the basic arithmetic operations.

2⁷²⁵⁸⁹⁷ is an apocalyptic number.

It is an amenable number.

725897 is a deficient number, since it is larger than the sum of its proper divisors (1).

725897 is an equidigital number, since it uses as much as digits as its factorization.

725897 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 35280, while the sum is 38.

The square root of 725897 is about 851.9958920089. The cubic root of 725897 is about 89.8721229178.

The spelling of 725897 in words is "seven hundred twenty-five thousand, eight hundred ninety-seven".