826313 has 2 divisors, whose sum is σ = 826314. Its totient is φ = 826312.

The previous prime is 826303. The next prime is 826333. The reversal of 826313 is 313628.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 824464 + 1849 = 908^2 + 43^2 .

It is a cyclic number.

It is not a de Polignac number, because 826313 - 2¹⁴ = 809929 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 826313.

It is not a weakly prime, because it can be changed into another prime (826303) 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, 413156 + 413157.

It is an arithmetic number, because the mean of its divisors is an integer number (413157).

2⁸²⁶³¹³ is an apocalyptic number.

It is an amenable number.

826313 is a deficient number, since it is larger than the sum of its proper divisors (1).

826313 is an equidigital number, since it uses as much as digits as its factorization.

826313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 864, while the sum is 23.

The square root of 826313 is about 909.0176015898. The cubic root of 826313 is about 93.8386018668.

The spelling of 826313 in words is "eight hundred twenty-six thousand, three hundred thirteen".