82771227 has 80 divisors (see below), whose sum is σ = 161137152. Its totient is φ = 41057280.

The previous prime is 82771189. The next prime is 82771229. The reversal of 82771227 is 72217728.

It is not a de Polignac number, because 82771227 - 2⁷ = 82771099 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 82771191 and 82771200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82771229) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 143163 + ... + 143739.

Almost surely, 2^82771227 is an apocalyptic number.

82771227 is a deficient number, since it is larger than the sum of its proper divisors (78365925).

82771227 is a wasteful number, since it uses less digits than its factorization.

82771227 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 621 counting only the distinct ones).

The product of its digits is 21952, while the sum is 36.

The square root of 82771227 is about 9097.8693659560. The cubic root of 82771227 is about 435.8059256756.

It can be divided in two parts, 8277122 and 7, that added together give a square (8277129 = 2877²).

The spelling of 82771227 in words is "eighty-two million, seven hundred seventy-one thousand, two hundred twenty-seven".