537825 has 24 divisors (see below), whose sum is σ = 910656. Its totient is φ = 280000.

The previous prime is 537811. The next prime is 537841. The reversal of 537825 is 528735.

It is a happy number.

537825 is nontrivially palindromic in base 14.

It is a Cunningham number, because it is equal to 14⁵+1.

It is not a de Polignac number, because 537825 - 2⁵ = 537793 is a prime.

It is a Curzon number.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 537792 and 537801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5275 + ... + 5375.

It is an arithmetic number, because the mean of its divisors is an integer number (37944).

537825 is a Friedman number, since it can be written as 8-7+(5+3^2)^5, using all its digits and the basic arithmetic operations.

2⁵³⁷⁸²⁵ is an apocalyptic number.

It is an amenable number.

537825 is a deficient number, since it is larger than the sum of its proper divisors (372831).

537825 is a wasteful number, since it uses less digits than its factorization.

537825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 180 counting only the distinct ones).

The product of its digits is 8400, while the sum is 30.

The square root of 537825 is about 733.3655295963. The cubic root of 537825 is about 81.3230506723.

The spelling of 537825 in words is "five hundred thirty-seven thousand, eight hundred twenty-five".