825161 has 2 divisors, whose sum is σ = 825162. Its totient is φ = 825160.

The previous prime is 825131. The next prime is 825191. The reversal of 825161 is 161528.

825161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (825131) and next prime (825191).

It can be written as a sum of positive squares in only one way, i.e., 765625 + 59536 = 875^2 + 244^2 .

It is a cyclic number.

It is not a de Polignac number, because 825161 - 2¹⁰ = 824137 is a prime.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 825161.

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, 412580 + 412581.

It is an arithmetic number, because the mean of its divisors is an integer number (412581).

2⁸²⁵¹⁶¹ is an apocalyptic number.

It is an amenable number.

825161 is a deficient number, since it is larger than the sum of its proper divisors (1).

825161 is an equidigital number, since it uses as much as digits as its factorization.

825161 is an evil number, because the sum of its binary digits is even.

The product of its digits is 480, while the sum is 23.

The square root of 825161 is about 908.3837294888. The cubic root of 825161 is about 93.7949733851.

Adding to 825161 its reverse (161528), we get a palindrome (986689).

The spelling of 825161 in words is "eight hundred twenty-five thousand, one hundred sixty-one".