725931 has 12 divisors (see below), whose sum is σ = 1062880. Its totient is φ = 477360.

The previous prime is 725929. The next prime is 725939. The reversal of 725931 is 139527.

725931 is a `hidden beast` number, since 72 + 593 + 1 = 666.

It is not a de Polignac number, because 725931 - 2¹ = 725929 is a prime.

It is a super-2 number, since 2×725931² = 1053951633522, which contains 22 as substring.

It is a Duffinian number.

725931 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 725895 and 725904.

It is not an unprimeable number, because it can be changed into a prime (725939) 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 11 ways as a sum of consecutive naturals, for example, 201 + ... + 1221.

2⁷²⁵⁹³¹ is an apocalyptic number.

725931 is a deficient number, since it is larger than the sum of its proper divisors (336949).

725931 is a wasteful number, since it uses less digits than its factorization.

725931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1103 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 725931 is about 852.0158449231. The cubic root of 725931 is about 89.8735260574.

Subtracting from 725931 its sum of digits (27), we obtain a square (725904 = 852²).

Adding to 725931 its product of digits (1890), we get a triangular number (727821 = T₁₂₀₆).

The spelling of 725931 in words is "seven hundred twenty-five thousand, nine hundred thirty-one".