82112261 has 32 divisors (see below), whose sum is σ = 109382400. Its totient is φ = 59673600.

The previous prime is 82112257. The next prime is 82112269. The reversal of 82112261 is 16221128.

It is not a de Polignac number, because 82112261 - 2² = 82112257 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 (82112269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194831 + ... + 195251.

It is an arithmetic number, because the mean of its divisors is an integer number (3418200).

Almost surely, 2^82112261 is an apocalyptic number.

It is an amenable number.

82112261 is a deficient number, since it is larger than the sum of its proper divisors (27270139).

82112261 is a wasteful number, since it uses less digits than its factorization.

82112261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605.

The product of its digits is 384, while the sum is 23.

The square root of 82112261 is about 9061.5815948431. The cubic root of 82112261 is about 434.6463166412.

Adding to 82112261 its reverse (16221128), we get a palindrome (98333389).

The spelling of 82112261 in words is "eighty-two million, one hundred twelve thousand, two hundred sixty-one".