83005829 has 2 divisors, whose sum is σ = 83005830. Its totient is φ = 83005828.

The previous prime is 83005823. The next prime is 83005841. The reversal of 83005829 is 92850038.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59985025 + 23020804 = 7745^2 + 4798^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-83005829 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (83005823) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41502914 + 41502915.

It is an arithmetic number, because the mean of its divisors is an integer number (41502915).

Almost surely, 2^83005829 is an apocalyptic number.

It is an amenable number.

83005829 is a deficient number, since it is larger than the sum of its proper divisors (1).

83005829 is an equidigital number, since it uses as much as digits as its factorization.

83005829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 83005829 is about 9110.7534814635. The cubic root of 83005829 is about 436.2172783562.

The spelling of 83005829 in words is "eighty-three million, five thousand, eight hundred twenty-nine".