84085829 has 2 divisors, whose sum is σ = 84085830. Its totient is φ = 84085828.

The previous prime is 84085789. The next prime is 84085831. The reversal of 84085829 is 92858048.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66863329 + 17222500 = 8177^2 + 4150^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-84085829 is a prime.

It is a super-3 number, since 3×84085829³ (a number of 25 digits) contains 333 as substring.

Together with 84085831, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 84085829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (84085879) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42042914 + 42042915.

It is an arithmetic number, because the mean of its divisors is an integer number (42042915).

Almost surely, 2^84085829 is an apocalyptic number.

It is an amenable number.

84085829 is a deficient number, since it is larger than the sum of its proper divisors (1).

84085829 is an equidigital number, since it uses as much as digits as its factorization.

84085829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 184320, while the sum is 44.

The square root of 84085829 is about 9169.8325502705. The cubic root of 84085829 is about 438.1010258126.

The spelling of 84085829 in words is "eighty-four million, eighty-five thousand, eight hundred twenty-nine".