725957 has 4 divisors (see below), whose sum is σ = 751020. Its totient is φ = 700896.

The previous prime is 725953. The next prime is 725981. The reversal of 725957 is 759527.

725957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 759527 = 617 ⋅1231.

It can be written as a sum of positive squares in 2 ways, for example, as 206116 + 519841 = 454^2 + 721^2 .

It is a cyclic number.

It is not a de Polignac number, because 725957 - 2² = 725953 is a prime.

It is a Duffinian number.

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 725957.

It is not an unprimeable number, because it can be changed into a prime (725953) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12488 + ... + 12545.

It is an arithmetic number, because the mean of its divisors is an integer number (187755).

2⁷²⁵⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

725957 is a deficient number, since it is larger than the sum of its proper divisors (25063).

725957 is a wasteful number, since it uses less digits than its factorization.

725957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25062.

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

The square root of 725957 is about 852.0311027187. The cubic root of 725957 is about 89.8745990170.

The spelling of 725957 in words is "seven hundred twenty-five thousand, nine hundred fifty-seven".