826129213 has 32 divisors (see below), whose sum is σ = 1048239360. Its totient is φ = 633623040.

The previous prime is 826129207. The next prime is 826129217. The reversal of 826129213 is 312921628.

It is a cyclic number.

It is not a de Polignac number, because 826129213 - 2¹⁷ = 825998141 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826129217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 667231 + ... + 668467.

It is an arithmetic number, because the mean of its divisors is an integer number (32757480).

Almost surely, 2^826129213 is an apocalyptic number.

It is an amenable number.

826129213 is a deficient number, since it is larger than the sum of its proper divisors (222110147).

826129213 is a wasteful number, since it uses less digits than its factorization.

826129213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477.

The product of its digits is 10368, while the sum is 34.

The square root of 826129213 is about 28742.4635861298. The cubic root of 826129213 is about 938.3164421521.

The spelling of 826129213 in words is "eight hundred twenty-six million, one hundred twenty-nine thousand, two hundred thirteen".