82827111 has 24 divisors (see below), whose sum is σ = 118831104. Its totient is φ = 51299200.

The previous prime is 82827097. The next prime is 82827131. The reversal of 82827111 is 11172828.

It is a happy number.

It is not a de Polignac number, because 82827111 - 2⁹ = 82826599 is a prime.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82827131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71386 + ... + 72536.

It is an arithmetic number, because the mean of its divisors is an integer number (4951296).

Almost surely, 2^82827111 is an apocalyptic number.

82827111 is a deficient number, since it is larger than the sum of its proper divisors (36003993).

82827111 is a wasteful number, since it uses less digits than its factorization.

82827111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1254 counting only the distinct ones).

The product of its digits is 1792, while the sum is 30.

The square root of 82827111 is about 9100.9401162737. The cubic root of 82827111 is about 435.9039834999.

Adding to 82827111 its reverse (11172828), we get a palindrome (93999939).

The spelling of 82827111 in words is "eighty-two million, eight hundred twenty-seven thousand, one hundred eleven".