825613 has 2 divisors, whose sum is σ = 825614. Its totient is φ = 825612.

The previous prime is 825611. The next prime is 825637. The reversal of 825613 is 316528.

825613 = 642² + 643².

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., 413449 + 412164 = 643^2 + 642^2 .

It is a cyclic number.

It is not a de Polignac number, because 825613 - 2¹ = 825611 is a prime.

Together with 825611, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (825611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412806 + 412807.

It is an arithmetic number, because the mean of its divisors is an integer number (412807).

2⁸²⁵⁶¹³ is an apocalyptic number.

825613 is the 643-rd centered square number.

It is an amenable number.

825613 is a deficient number, since it is larger than the sum of its proper divisors (1).

825613 is an equidigital number, since it uses as much as digits as its factorization.

825613 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 825613 is about 908.6324889635. The cubic root of 825613 is about 93.8120963422.

The spelling of 825613 in words is "eight hundred twenty-five thousand, six hundred thirteen".