85725 has 24 divisors (see below), whose sum is σ = 158720. Its totient is φ = 45360.

The previous prime is 85717. The next prime is 85733. The reversal of 85725 is 52758.

85725 = T₇₀ + T₇₁ + ... + T₉₄.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85717) and next prime (85733).

It is not a de Polignac number, because 85725 - 2³ = 85717 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 8⁴ + 5³ + 7³ + 2¹⁶ + 5⁶ .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 612 + ... + 738.

2⁸⁵⁷²⁵ is an apocalyptic number.

It is an amenable number.

85725 is a deficient number, since it is larger than the sum of its proper divisors (72995).

85725 is a wasteful number, since it uses less digits than its factorization.

85725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 135 counting only the distinct ones).

The product of its digits is 2800, while the sum is 27.

The square root of 85725 is about 292.7883194391. The cubic root of 85725 is about 44.0929508840.

The spelling of 85725 in words is "eighty-five thousand, seven hundred twenty-five".