102829 has 2 divisors, whose sum is σ = 102830. Its totient is φ = 102828.

The previous prime is 102811. The next prime is 102841. The reversal of 102829 is 928201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72900 + 29929 = 270^2 + 173^2 .

It is a cyclic number.

It is not a de Polignac number, because 102829 - 2⁵ = 102797 is a prime.

It is an Ulam number.

It is equal to p₉₈₄₁ and since 102829 and 9841 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102859) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51414 + 51415.

It is an arithmetic number, because the mean of its divisors is an integer number (51415).

2¹⁰²⁸²⁹ is an apocalyptic number.

It is an amenable number.

102829 is a deficient number, since it is larger than the sum of its proper divisors (1).

102829 is an equidigital number, since it uses as much as digits as its factorization.

102829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 102829 is about 320.6696119061. The cubic root of 102829 is about 46.8495263073.

The spelling of 102829 in words is "one hundred two thousand, eight hundred twenty-nine".