725917 has 4 divisors (see below), whose sum is σ = 768636. Its totient is φ = 683200.

The previous prime is 725909. The next prime is 725929. The reversal of 725917 is 719527.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 719527 = 83 ⋅8669.

It can be written as a sum of positive squares in 2 ways, for example, as 630436 + 95481 = 794^2 + 309^2 .

It is a cyclic number.

It is not a de Polignac number, because 725917 - 2³ = 725909 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 (725317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21334 + ... + 21367.

It is an arithmetic number, because the mean of its divisors is an integer number (192159).

2⁷²⁵⁹¹⁷ is an apocalyptic number.

It is an amenable number.

725917 is a deficient number, since it is larger than the sum of its proper divisors (42719).

725917 is a wasteful number, since it uses less digits than its factorization.

725917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42718.

The product of its digits is 4410, while the sum is 31.

The square root of 725917 is about 852.0076290738. The cubic root of 725917 is about 89.8729482994.

The spelling of 725917 in words is "seven hundred twenty-five thousand, nine hundred seventeen".