825075 has 36 divisors (see below), whose sum is σ = 1563640. Its totient is φ = 414720.

The previous prime is 825073. The next prime is 825101. The reversal of 825075 is 570528.

It is a happy number.

It is not a de Polignac number, because 825075 - 2¹ = 825073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (825073) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4179 + ... + 4371.

2⁸²⁵⁰⁷⁵ is an apocalyptic number.

825075 is a deficient number, since it is larger than the sum of its proper divisors (738565).

825075 is a wasteful number, since it uses less digits than its factorization.

825075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 220 counting only the distinct ones).

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

The square root of 825075 is about 908.3363914322. The cubic root of 825075 is about 93.7917147693.

The spelling of 825075 in words is "eight hundred twenty-five thousand, seventy-five".