825241 has 2 divisors, whose sum is σ = 825242. Its totient is φ = 825240.

The previous prime is 825229. The next prime is 825247. The reversal of 825241 is 142528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 490000 + 335241 = 700^2 + 579^2 .

It is a cyclic number.

It is not a de Polignac number, because 825241 - 2¹³ = 817049 is a prime.

It is not a weakly prime, because it can be changed into another prime (825247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412620 + 412621.

It is an arithmetic number, because the mean of its divisors is an integer number (412621).

2⁸²⁵²⁴¹ is an apocalyptic number.

It is an amenable number.

825241 is a deficient number, since it is larger than the sum of its proper divisors (1).

825241 is an equidigital number, since it uses as much as digits as its factorization.

825241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 640, while the sum is 22.

The square root of 825241 is about 908.4277626757. The cubic root of 825241 is about 93.7980044523.

Adding to 825241 its reverse (142528), we get a palindrome (967769).

The spelling of 825241 in words is "eight hundred twenty-five thousand, two hundred forty-one".