825027 has 16 divisors (see below), whose sum is σ = 1331712. Its totient is φ = 443520.

The previous prime is 825017. The next prime is 825029. The reversal of 825027 is 720528.

825027 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 825027 - 2⁷ = 824899 is a prime.

It is an Ulam number.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 824988 and 825006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 799 + ... + 1512.

It is an arithmetic number, because the mean of its divisors is an integer number (83232).

2⁸²⁵⁰²⁷ is an apocalyptic number.

825027 is a deficient number, since it is larger than the sum of its proper divisors (506685).

825027 is a wasteful number, since it uses less digits than its factorization.

825027 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2338.

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 825027 is about 908.3099691185. The cubic root of 825027 is about 93.7898959085.

It can be divided in two parts, 82 and 5027, that multiplied together give a palindrome (412214).

The spelling of 825027 in words is "eight hundred twenty-five thousand, twenty-seven".