826129 has 2 divisors, whose sum is σ = 826130. Its totient is φ = 826128.

The previous prime is 826097. The next prime is 826151. The reversal of 826129 is 921628.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 810000 + 16129 = 900^2 + 127^2 .

It is a cyclic number.

It is not a de Polignac number, because 826129 - 2⁵ = 826097 is a prime.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 826097 and 826106.

It is not a weakly prime, because it can be changed into another prime (826169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413064 + 413065.

It is an arithmetic number, because the mean of its divisors is an integer number (413065).

2⁸²⁶¹²⁹ is an apocalyptic number.

It is an amenable number.

826129 is a deficient number, since it is larger than the sum of its proper divisors (1).

826129 is an equidigital number, since it uses as much as digits as its factorization.

826129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1728, while the sum is 28.

The square root of 826129 is about 908.9163877937. The cubic root of 826129 is about 93.8316361510.

It can be divided in two parts, 82612 and 9, that added together give a triangular number (82621 = T₄₀₆).

The spelling of 826129 in words is "eight hundred twenty-six thousand, one hundred twenty-nine".