82112961 has 8 divisors (see below), whose sum is σ = 125124544. Its totient is φ = 46921680.

The previous prime is 82112951. The next prime is 82112963. The reversal of 82112961 is 16921128.

It is a happy number.

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

It is not a de Polignac number, because 82112961 - 2⁶ = 82112897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82112963) 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 7 ways as a sum of consecutive naturals, for example, 1955050 + ... + 1955091.

It is an arithmetic number, because the mean of its divisors is an integer number (15640568).

Almost surely, 2^82112961 is an apocalyptic number.

It is an amenable number.

82112961 is a deficient number, since it is larger than the sum of its proper divisors (43011583).

82112961 is a wasteful number, since it uses less digits than its factorization.

82112961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3910151.

The product of its digits is 1728, while the sum is 30.

The square root of 82112961 is about 9061.6202193647. The cubic root of 82112961 is about 434.6475517452.

The spelling of 82112961 in words is "eighty-two million, one hundred twelve thousand, nine hundred sixty-one".