825337 has 2 divisors, whose sum is σ = 825338. Its totient is φ = 825336.

The previous prime is 825329. The next prime is 825343. The reversal of 825337 is 733528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 614656 + 210681 = 784^2 + 459^2 .

It is a cyclic number.

It is not a de Polignac number, because 825337 - 2³ = 825329 is a prime.

825337 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (825347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412668 + 412669.

It is an arithmetic number, because the mean of its divisors is an integer number (412669).

2⁸²⁵³³⁷ is an apocalyptic number.

It is an amenable number.

825337 is a deficient number, since it is larger than the sum of its proper divisors (1).

825337 is an equidigital number, since it uses as much as digits as its factorization.

825337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5040, while the sum is 28.

The square root of 825337 is about 908.4805996828. The cubic root of 825337 is about 93.8016414744.

Subtracting from 825337 its reverse (733528), we obtain a square (91809 = 303²).

The spelling of 825337 in words is "eight hundred twenty-five thousand, three hundred thirty-seven".