725837 has 6 divisors (see below), whose sum is σ = 844398. Its totient is φ = 622104.

The previous prime is 725827. The next prime is 725861. The reversal of 725837 is 738527.

725837 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 only one way, i.e., 561001 + 164836 = 749^2 + 406^2 .

It is not a de Polignac number, because 725837 - 2¹⁰ = 724813 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 725837.

It is not an unprimeable number, because it can be changed into a prime (725807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7358 + ... + 7455.

It is an arithmetic number, because the mean of its divisors is an integer number (140733).

2⁷²⁵⁸³⁷ is an apocalyptic number.

It is an amenable number.

725837 is a deficient number, since it is larger than the sum of its proper divisors (118561).

725837 is a wasteful number, since it uses less digits than its factorization.

725837 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14827 (or 14820 counting only the distinct ones).

The product of its digits is 11760, while the sum is 32.

The square root of 725837 is about 851.9606798439. The cubic root of 725837 is about 89.8696466822.

The spelling of 725837 in words is "seven hundred twenty-five thousand, eight hundred thirty-seven".