84416085 has 48 divisors (see below), whose sum is σ = 159095664. Its totient is φ = 41158656.

The previous prime is 84416083. The next prime is 84416113. The reversal of 84416085 is 58061448.

84416085 is a `hidden beast` number, since 8 + 4 + 41 + 608 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 20304036 + 64112049 = 4506^2 + 8007^2 .

It is not a de Polignac number, because 84416085 - 2¹ = 84416083 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84416081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65467 + ... + 66743.

It is an arithmetic number, because the mean of its divisors is an integer number (3314493).

Almost surely, 2^84416085 is an apocalyptic number.

It is an amenable number.

84416085 is a deficient number, since it is larger than the sum of its proper divisors (74679579).

84416085 is a wasteful number, since it uses less digits than its factorization.

84416085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 84416085 is about 9187.8226473958. The cubic root of 84416085 is about 438.6738392653.

The spelling of 84416085 in words is "eighty-four million, four hundred sixteen thousand, eighty-five".