20130829 has 2 divisors, whose sum is σ = 20130830. Its totient is φ = 20130828.

The previous prime is 20130797. The next prime is 20130833. The reversal of 20130829 is 92803102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19802500 + 328329 = 4450^2 + 573^2 .

It is a cyclic number.

It is not a de Polignac number, because 20130829 - 2⁵ = 20130797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20130029) 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, 10065414 + 10065415.

It is an arithmetic number, because the mean of its divisors is an integer number (10065415).

Almost surely, 2^20130829 is an apocalyptic number.

It is an amenable number.

20130829 is a deficient number, since it is larger than the sum of its proper divisors (1).

20130829 is an equidigital number, since it uses as much as digits as its factorization.

20130829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 20130829 is about 4486.7392391357. The cubic root of 20130829 is about 272.0323499946.

The spelling of 20130829 in words is "twenty million, one hundred thirty thousand, eight hundred twenty-nine".