82186772 has 24 divisors (see below), whose sum is σ = 152568360. Its totient is φ = 38604800.

The previous prime is 82186771. The next prime is 82186777. The reversal of 82186772 is 27768128.

It can be written as a sum of positive squares in 4 ways, for example, as 1976836 + 80209936 = 1406^2 + 8956^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82186771) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62522 + ... + 63822.

It is an arithmetic number, because the mean of its divisors is an integer number (6357015).

Almost surely, 2^82186772 is an apocalyptic number.

It is an amenable number.

82186772 is a deficient number, since it is larger than the sum of its proper divisors (70381588).

82186772 is a wasteful number, since it uses less digits than its factorization.

82186772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2251 (or 2249 counting only the distinct ones).

The product of its digits is 75264, while the sum is 41.

The square root of 82186772 is about 9065.6920309483. The cubic root of 82186772 is about 434.7777470361. Note that the first 4 decimals are identical.

The spelling of 82186772 in words is "eighty-two million, one hundred eighty-six thousand, seven hundred seventy-two".