82427261 has 24 divisors (see below), whose sum is σ = 99542520. Its totient is φ = 68006400.

The previous prime is 82427207. The next prime is 82427281. The reversal of 82427261 is 16272428.

It can be written as a sum of positive squares in 4 ways, for example, as 1768900 + 80658361 = 1330^2 + 8981^2 .

It is not a de Polignac number, because 82427261 - 2⁶ = 82427197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82427281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178571 + ... + 179031.

It is an arithmetic number, because the mean of its divisors is an integer number (4147605).

Almost surely, 2^82427261 is an apocalyptic number.

It is an amenable number.

82427261 is a deficient number, since it is larger than the sum of its proper divisors (17115259).

82427261 is a wasteful number, since it uses less digits than its factorization.

82427261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 598 counting only the distinct ones).

The product of its digits is 10752, while the sum is 32.

The square root of 82427261 is about 9078.9460291380. The cubic root of 82427261 is about 435.2014058315.

Adding to 82427261 its reverse (16272428), we get a palindrome (98699689).

The spelling of 82427261 in words is "eighty-two million, four hundred twenty-seven thousand, two hundred sixty-one".