82138248 has 48 divisors (see below), whose sum is σ = 225791280. Its totient is φ = 26969184.

The previous prime is 82138247. The next prime is 82138249. The reversal of 82138248 is 84283128.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82138247) and next prime (82138249).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (82138241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3690 + ... + 13337.

It is an arithmetic number, because the mean of its divisors is an integer number (4703985).

Almost surely, 2^82138248 is an apocalyptic number.

It is an amenable number.

82138248 is an abundant number, since it is smaller than the sum of its proper divisors (143653032).

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

82138248 is a wasteful number, since it uses less digits than its factorization.

82138248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17106 (or 17099 counting only the distinct ones).

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

The square root of 82138248 is about 9063.0153922411. The cubic root of 82138248 is about 434.6921642906.

It can be divided in two parts, 8213 and 8248, that added together give a palindrome (16461).

The spelling of 82138248 in words is "eighty-two million, one hundred thirty-eight thousand, two hundred forty-eight".