825329 has 2 divisors, whose sum is σ = 825330. Its totient is φ = 825328.

The previous prime is 825301. The next prime is 825337. The reversal of 825329 is 923528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 547600 + 277729 = 740^2 + 527^2 .

It is a cyclic number.

It is not a de Polignac number, because 825329 - 2⁸ = 825073 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a d-powerful number, because it can be written as 8⁵ + 2¹⁷ + 3³ + 5⁷ + 2¹⁹ + 9⁵ .

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (825389) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412664 + 412665.

It is an arithmetic number, because the mean of its divisors is an integer number (412665).

2⁸²⁵³²⁹ is an apocalyptic number.

It is an amenable number.

825329 is a deficient number, since it is larger than the sum of its proper divisors (1).

825329 is an equidigital number, since it uses as much as digits as its factorization.

825329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4320, while the sum is 29.

The square root of 825329 is about 908.4761967162. The cubic root of 825329 is about 93.8013384000.

The spelling of 825329 in words is "eight hundred twenty-five thousand, three hundred twenty-nine".