82117971 has 12 divisors (see below), whose sum is σ = 127739248. Its totient is φ = 50534064.

The previous prime is 82117963. The next prime is 82117991. The reversal of 82117971 is 17971128.

It is not a de Polignac number, because 82117971 - 2³ = 82117963 is a prime.

It is a super-2 number, since 2×82117971² = 13486722322313682, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82117901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 350815 + ... + 351048.

Almost surely, 2^82117971 is an apocalyptic number.

82117971 is a deficient number, since it is larger than the sum of its proper divisors (45621277).

82117971 is a wasteful number, since it uses less digits than its factorization.

82117971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701882 (or 701879 counting only the distinct ones).

The product of its digits is 7056, while the sum is 36.

The square root of 82117971 is about 9061.8966557780. The cubic root of 82117971 is about 434.6563913564.

The spelling of 82117971 in words is "eighty-two million, one hundred seventeen thousand, nine hundred seventy-one".