8382016 has 14 divisors (see below), whose sum is σ = 16633190. Its totient is φ = 4190976.

The previous prime is 8382013. The next prime is 8382053. The reversal of 8382016 is 6102838.

It can be written as a sum of positive squares in only one way, i.e., 8294400 + 87616 = 2880^2 + 296^2 .

It is not an unprimeable number, because it can be changed into a prime (8382013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65421 + ... + 65548.

It is an arithmetic number, because the mean of its divisors is an integer number (1188085).

Almost surely, 2^8382016 is an apocalyptic number.

It is an amenable number.

8382016 is a deficient number, since it is larger than the sum of its proper divisors (8251174).

8382016 is a wasteful number, since it uses less digits than its factorization.

8382016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130981 (or 130971 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 8382016 is about 2895.1711521083. The cubic root of 8382016 is about 203.1340972967.

It can be divided in two parts, 838201 and 6, that multiplied together give a triangular number (5029206 = T₃₁₇₁).

The spelling of 8382016 in words is "eight million, three hundred eighty-two thousand, sixteen".