82003031 has 24 divisors (see below), whose sum is σ = 96813360. Its totient is φ = 69189120.

The previous prime is 82003013. The next prime is 82003049. The reversal of 82003031 is 13030028.

It is an interprime number because it is at equal distance from previous prime (82003013) and next prime (82003049).

It is not a de Polignac number, because 82003031 - 2¹⁰ = 82002007 is a prime.

It is a super-2 number, since 2×82003031² = 13448994186373922, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82003081) 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 23 ways as a sum of consecutive naturals, for example, 121511 + ... + 122183.

It is an arithmetic number, because the mean of its divisors is an integer number (4033890).

Almost surely, 2^82003031 is an apocalyptic number.

82003031 is a deficient number, since it is larger than the sum of its proper divisors (14810329).

82003031 is a wasteful number, since it uses less digits than its factorization.

82003031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 82003031 is about 9055.5524955687. The cubic root of 82003031 is about 434.4535014066.

Adding to 82003031 its reverse (13030028), we get a palindrome (95033059).

The spelling of 82003031 in words is "eighty-two million, three thousand, thirty-one".