825109 has 2 divisors, whose sum is σ = 825110. Its totient is φ = 825108.

The previous prime is 825107. The next prime is 825131. The reversal of 825109 is 901528.

825109 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 819025 + 6084 = 905^2 + 78^2 .

It is a cyclic number.

It is not a de Polignac number, because 825109 - 2¹ = 825107 is a prime.

Together with 825107, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (825101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412554 + 412555.

It is an arithmetic number, because the mean of its divisors is an integer number (412555).

2⁸²⁵¹⁰⁹ is an apocalyptic number.

It is an amenable number.

825109 is a deficient number, since it is larger than the sum of its proper divisors (1).

825109 is an equidigital number, since it uses as much as digits as its factorization.

825109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 825109 is about 908.3551067727. The cubic root of 825109 is about 93.7930030863.

The spelling of 825109 in words is "eight hundred twenty-five thousand, one hundred nine".