84117029 has 2 divisors, whose sum is σ = 84117030. Its totient is φ = 84117028.

The previous prime is 84117001. The next prime is 84117031. The reversal of 84117029 is 92071148.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55204900 + 28912129 = 7430^2 + 5377^2 .

It is a cyclic number.

It is not a de Polignac number, because 84117029 - 2²⁴ = 67339813 is a prime.

Together with 84117031, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 84116986 and 84117004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (84117829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42058514 + 42058515.

It is an arithmetic number, because the mean of its divisors is an integer number (42058515).

Almost surely, 2^84117029 is an apocalyptic number.

It is an amenable number.

84117029 is a deficient number, since it is larger than the sum of its proper divisors (1).

84117029 is an equidigital number, since it uses as much as digits as its factorization.

84117029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 84117029 is about 9171.5336231189. The cubic root of 84117029 is about 438.1552048260.

The spelling of 84117029 in words is "eighty-four million, one hundred seventeen thousand, twenty-nine".