825107 has 2 divisors, whose sum is σ = 825108. Its totient is φ = 825106.

The previous prime is 825101. The next prime is 825109. The reversal of 825107 is 701528.

825107 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 825107 - 2¹⁶ = 759571 is a prime.

It is a super-2 number, since 2×825107² = 1361603122898, which contains 22 as substring.

Together with 825109, it forms a pair of twin primes.

It is a Chen prime.

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, 412553 + 412554.

It is an arithmetic number, because the mean of its divisors is an integer number (412554).

2⁸²⁵¹⁰⁷ is an apocalyptic number.

825107 is a deficient number, since it is larger than the sum of its proper divisors (1).

825107 is an equidigital number, since it uses as much as digits as its factorization.

825107 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 825107 is about 908.3540058810. The cubic root of 825107 is about 93.7929273039.

The spelling of 825107 in words is "eight hundred twenty-five thousand, one hundred seven".