731825 has 12 divisors (see below), whose sum is σ = 922188. Its totient is φ = 576000.

The previous prime is 731821. The next prime is 731827. The reversal of 731825 is 528137.

731825 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 6 ways, for example, as 39601 + 692224 = 199^2 + 832^2 .

It is not a de Polignac number, because 731825 - 2² = 731821 is a prime.

It is a Duffinian number.

It is a plaindrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 731794 and 731803.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 731825.

It is not an unprimeable number, because it can be changed into a prime (731821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1625 + ... + 2025.

It is an arithmetic number, because the mean of its divisors is an integer number (76849).

2⁷³¹⁸²⁵ is an apocalyptic number.

It is an amenable number.

731825 is a deficient number, since it is larger than the sum of its proper divisors (190363).

731825 is a wasteful number, since it uses less digits than its factorization.

731825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 479 counting only the distinct ones).

The product of its digits is 1680, while the sum is 26.

The square root of 731825 is about 855.4677083327. The cubic root of 731825 is about 90.1161052970.

It can be divided in two parts, 73 and 1825, that multiplied together give a square (133225 = 365²).

The spelling of 731825 in words is "seven hundred thirty-one thousand, eight hundred twenty-five".