82846071 has 80 divisors (see below), whose sum is σ = 158906880. Its totient is φ = 41757120.

The previous prime is 82846039. The next prime is 82846081. The reversal of 82846071 is 17064828.

It is not a de Polignac number, because 82846071 - 2⁵ = 82846039 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82846031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 230590 + ... + 230948.

It is an arithmetic number, because the mean of its divisors is an integer number (1986336).

Almost surely, 2^82846071 is an apocalyptic number.

82846071 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

82846071 is a deficient number, since it is larger than the sum of its proper divisors (76060809).

82846071 is a wasteful number, since it uses less digits than its factorization.

82846071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 417 counting only the distinct ones).

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

The square root of 82846071 is about 9101.9817072987. The cubic root of 82846071 is about 435.9372419700.

The spelling of 82846071 in words is "eighty-two million, eight hundred forty-six thousand, seventy-one".