82138284 has 18 divisors (see below), whose sum is σ = 207627420. Its totient is φ = 27379416.

The previous prime is 82138279. The next prime is 82138289. The reversal of 82138284 is 48283128.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82138279) and next prime (82138289).

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2281619 = 82138284 / (8 + 2 + 1 + 3 + 8 + 2 + 8 + 4).

It is not an unprimeable number, because it can be changed into a prime (82138289) 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 in 5 ways as a sum of consecutive naturals, for example, 1140774 + ... + 1140845.

Almost surely, 2^82138284 is an apocalyptic number.

It is an amenable number.

82138284 is an abundant number, since it is smaller than the sum of its proper divisors (125489136).

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

82138284 is a wasteful number, since it uses less digits than its factorization.

82138284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281629 (or 2281624 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 82138284 is about 9063.0173783349. The cubic root of 82138284 is about 434.6922277970.

The spelling of 82138284 in words is "eighty-two million, one hundred thirty-eight thousand, two hundred eighty-four".