82075871 has 16 divisors (see below), whose sum is σ = 85805664. Its totient is φ = 78465024.

The previous prime is 82075849. The next prime is 82075883. The reversal of 82075871 is 17857028.

It is a cyclic number.

It is not a de Polignac number, because 82075871 - 2¹⁰ = 82074847 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82075811) 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, 474341 + ... + 474513.

It is an arithmetic number, because the mean of its divisors is an integer number (5362854).

Almost surely, 2^82075871 is an apocalyptic number.

82075871 is a deficient number, since it is larger than the sum of its proper divisors (3729793).

82075871 is a wasteful number, since it uses less digits than its factorization.

82075871 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410.

The product of its (nonzero) digits is 31360, while the sum is 38.

The square root of 82075871 is about 9059.5734447048. The cubic root of 82075871 is about 434.5820992053.

The spelling of 82075871 in words is "eighty-two million, seventy-five thousand, eight hundred seventy-one".