42829 has 2 divisors, whose sum is σ = 42830. Its totient is φ = 42828.

The previous prime is 42821. The next prime is 42839. The reversal of 42829 is 92824.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 40804 + 2025 = 202^2 + 45^2 .

It is a cyclic number.

It is not a de Polignac number, because 42829 - 2³ = 42821 is a prime.

42829 is a lucky number.

It is a nialpdrome in base 15.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21414 + 21415.

It is an arithmetic number, because the mean of its divisors is an integer number (21415).

2⁴²⁸²⁹ is an apocalyptic number.

It is an amenable number.

42829 is a deficient number, since it is larger than the sum of its proper divisors (1).

42829 is an equidigital number, since it uses as much as digits as its factorization.

42829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1152, while the sum is 25.

The square root of 42829 is about 206.9516851828. The cubic root of 42829 is about 34.9874785141.

The spelling of 42829 in words is "forty-two thousand, eight hundred twenty-nine".