82838016 has 60 divisors (see below), whose sum is σ = 239089422. Its totient is φ = 27611136.

The previous prime is 82838003. The next prime is 82838029. The reversal of 82838016 is 61083828.

It is an interprime number because it is at equal distance from previous prime (82838003) and next prime (82838029).

It can be written as a sum of positive squares in only one way, i.e., 70560000 + 12278016 = 8400^2 + 3504^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4381 + ... + 13596.

Almost surely, 2^82838016 is an apocalyptic number.

It is an amenable number.

82838016 is an abundant number, since it is smaller than the sum of its proper divisors (156251406).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82838016 is a wasteful number, since it uses less digits than its factorization.

82838016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18001 (or 17982 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 82838016 is about 9101.5392104852. The cubic root of 82838016 is about 435.9231130027.

The spelling of 82838016 in words is "eighty-two million, eight hundred thirty-eight thousand, sixteen".