82816027 has 24 divisors (see below), whose sum is σ = 104799744. Its totient is φ = 64979712.

The previous prime is 82816009. The next prime is 82816037. The reversal of 82816027 is 72061828.

It is not a de Polignac number, because 82816027 - 2¹⁹ = 82291739 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82815983 and 82816001.

It is not an unprimeable number, because it can be changed into a prime (82816037) 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, 29478 + ... + 32164.

It is an arithmetic number, because the mean of its divisors is an integer number (4366656).

Almost surely, 2^82816027 is an apocalyptic number.

82816027 is a deficient number, since it is larger than the sum of its proper divisors (21983717).

82816027 is a wasteful number, since it uses less digits than its factorization.

82816027 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2755 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 82816027 is about 9100.3311478209. The cubic root of 82816027 is about 435.8845382755.

The spelling of 82816027 in words is "eighty-two million, eight hundred sixteen thousand, twenty-seven".