135829 has 2 divisors, whose sum is σ = 135830. Its totient is φ = 135828.

The previous prime is 135799. The next prime is 135841. The reversal of 135829 is 928531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106929 + 28900 = 327^2 + 170^2 .

It is a cyclic number.

It is not a de Polignac number, because 135829 - 2⁷ = 135701 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 135797 and 135806.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (135859) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67914 + 67915.

It is an arithmetic number, because the mean of its divisors is an integer number (67915).

2¹³⁵⁸²⁹ is an apocalyptic number.

It is an amenable number.

135829 is a deficient number, since it is larger than the sum of its proper divisors (1).

135829 is an equidigital number, since it uses as much as digits as its factorization.

135829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2160, while the sum is 28.

The square root of 135829 is about 368.5498609415. The cubic root of 135829 is about 51.4040693836.

The spelling of 135829 in words is "one hundred thirty-five thousand, eight hundred twenty-nine".