82084617 has 16 divisors (see below), whose sum is σ = 128008000. Its totient is φ = 51842592.

The previous prime is 82084603. The next prime is 82084627. The reversal of 82084617 is 71648028.

It is not a de Polignac number, because 82084617 - 2⁶ = 82084553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82084627) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79492 + ... + 80517.

It is an arithmetic number, because the mean of its divisors is an integer number (8000500).

Almost surely, 2^82084617 is an apocalyptic number.

It is an amenable number.

82084617 is a deficient number, since it is larger than the sum of its proper divisors (45923383).

82084617 is a wasteful number, since it uses less digits than its factorization.

82084617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160037 (or 160031 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 82084617 is about 9060.0561256540. The cubic root of 82084617 is about 434.5975350047.

It can be divided in two parts, 8208 and 4617, that multiplied together give a square (37896336 = 6156²).

The spelling of 82084617 in words is "eighty-two million, eighty-four thousand, six hundred seventeen".