825361 has 2 divisors, whose sum is σ = 825362. Its totient is φ = 825360.

The previous prime is 825353. The next prime is 825389. The reversal of 825361 is 163528.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 801025 + 24336 = 895^2 + 156^2 .

It is a cyclic number.

It is not a de Polignac number, because 825361 - 2³ = 825353 is a prime.

It is a nialpdrome in base 16.

It is not a weakly prime, because it can be changed into another prime (825301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412680 + 412681.

It is an arithmetic number, because the mean of its divisors is an integer number (412681).

2⁸²⁵³⁶¹ is an apocalyptic number.

It is an amenable number.

825361 is a deficient number, since it is larger than the sum of its proper divisors (1).

825361 is an equidigital number, since it uses as much as digits as its factorization.

825361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1440, while the sum is 25.

The square root of 825361 is about 908.4938084544. The cubic root of 825361 is about 93.8025506858.

Adding to 825361 its reverse (163528), we get a palindrome (988889).

The spelling of 825361 in words is "eight hundred twenty-five thousand, three hundred sixty-one".