82844137 has 8 divisors (see below), whose sum is σ = 87419520. Its totient is φ = 78349920.

The previous prime is 82844131. The next prime is 82844143. The reversal of 82844137 is 73144828.

It is an interprime number because it is at equal distance from previous prime (82844131) and next prime (82844143).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82844137 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82844096 and 82844105.

It is not an unprimeable number, because it can be changed into a prime (82844131) 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 7 ways as a sum of consecutive naturals, for example, 18189 + ... + 22282.

It is an arithmetic number, because the mean of its divisors is an integer number (10927440).

Almost surely, 2^82844137 is an apocalyptic number.

It is an amenable number.

82844137 is a deficient number, since it is larger than the sum of its proper divisors (4575383).

82844137 is a wasteful number, since it uses less digits than its factorization.

82844137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40583.

The product of its digits is 43008, while the sum is 37.

The square root of 82844137 is about 9101.8754660784. The cubic root of 82844137 is about 435.9338496982.

It can be divided in two parts, 8284 and 4137, that added together give a palindrome (12421).

The spelling of 82844137 in words is "eighty-two million, eight hundred forty-four thousand, one hundred thirty-seven".