85825 has 6 divisors (see below), whose sum is σ = 106454. Its totient is φ = 68640.

The previous prime is 85819. The next prime is 85829. The reversal of 85825 is 52858.

85825 is nontrivially palindromic in base 16.

It can be written as a sum of positive squares in 3 ways, for example, as 2304 + 83521 = 48^2 + 289^2 .

It is not a de Polignac number, because 85825 - 2³ = 85817 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85793 and 85802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85829) 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, 1692 + ... + 1741.

2⁸⁵⁸²⁵ is an apocalyptic number.

It is an amenable number.

85825 is a deficient number, since it is larger than the sum of its proper divisors (20629).

85825 is a wasteful number, since it uses less digits than its factorization.

85825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3443 (or 3438 counting only the distinct ones).

The product of its digits is 3200, while the sum is 28.

The square root of 85825 is about 292.9590415058. The cubic root of 85825 is about 44.1100893372.

It can be divided in two parts, 85 and 825, that multiplied together give a triangular number (70125 = T₃₇₄).

The spelling of 85825 in words is "eighty-five thousand, eight hundred twenty-five".