82302116 has 24 divisors (see below), whose sum is σ = 160459320. Its totient is φ = 36675072.

The previous prime is 82302067. The next prime is 82302131. The reversal of 82302116 is 61120328.

It can be written as a sum of positive squares in 4 ways, for example, as 3625216 + 78676900 = 1904^2 + 8870^2 .

It is a junction number, because it is equal to n+sod(n) for n = 82302091 and 82302100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25781 + ... + 28796.

It is an arithmetic number, because the mean of its divisors is an integer number (6685805).

Almost surely, 2^82302116 is an apocalyptic number.

It is an amenable number.

82302116 is a deficient number, since it is larger than the sum of its proper divisors (78157204).

82302116 is a wasteful number, since it uses less digits than its factorization.

82302116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54623 (or 54621 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 82302116 is about 9072.0513666976. The cubic root of 82302116 is about 434.9810464283.

The spelling of 82302116 in words is "eighty-two million, three hundred two thousand, one hundred sixteen".