825101 has 2 divisors, whose sum is σ = 825102. Its totient is φ = 825100.

The previous prime is 825073. The next prime is 825107. The reversal of 825101 is 101528.

825101 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 can be written as a sum of positive squares in only one way, i.e., 808201 + 16900 = 899^2 + 130^2 .

It is a cyclic number.

It is not a de Polignac number, because 825101 - 2¹⁰ = 824077 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 825101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (825107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412550 + 412551.

It is an arithmetic number, because the mean of its divisors is an integer number (412551).

2⁸²⁵¹⁰¹ is an apocalyptic number.

It is an amenable number.

825101 is a deficient number, since it is larger than the sum of its proper divisors (1).

825101 is an equidigital number, since it uses as much as digits as its factorization.

825101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 825101 is about 908.3507031978. The cubic root of 825101 is about 93.7926999561.

Adding to 825101 its reverse (101528), we get a palindrome (926629).

The spelling of 825101 in words is "eight hundred twenty-five thousand, one hundred one".