82056971 has 8 divisors (see below), whose sum is σ = 84324864. Its totient is φ = 79810920.

The previous prime is 82056937. The next prime is 82056983. The reversal of 82056971 is 17965028.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82056971 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82056071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2306 + ... + 13016.

It is an arithmetic number, because the mean of its divisors is an integer number (10540608).

Almost surely, 2^82056971 is an apocalyptic number.

82056971 is a deficient number, since it is larger than the sum of its proper divisors (2267893).

82056971 is a wasteful number, since it uses less digits than its factorization.

82056971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10921.

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 82056971 is about 9058.5302891805. The cubic root of 82056971 is about 434.5487388843.

It can be divided in two parts, 82056 and 971, that multiplied together give a triangular number (79676376 = T₁₂₆₂₃).

The spelling of 82056971 in words is "eighty-two million, fifty-six thousand, nine hundred seventy-one".