84083117 has 2 divisors, whose sum is σ = 84083118. Its totient is φ = 84083116.

The previous prime is 84083107. The next prime is 84083119. The reversal of 84083117 is 71138048.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81830116 + 2253001 = 9046^2 + 1501^2 .

It is a cyclic number.

It is not a de Polignac number, because 84083117 - 2²² = 79888813 is a prime.

Together with 84083119, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p_4893611 and since 84083117 and 4893611 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 (84083119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42041558 + 42041559.

It is an arithmetic number, because the mean of its divisors is an integer number (42041559).

Almost surely, 2^84083117 is an apocalyptic number.

It is an amenable number.

84083117 is a deficient number, since it is larger than the sum of its proper divisors (1).

84083117 is an equidigital number, since it uses as much as digits as its factorization.

84083117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 84083117 is about 9169.6846728773. The cubic root of 84083117 is about 438.0963157730.

The spelling of 84083117 in words is "eighty-four million, eighty-three thousand, one hundred seventeen".