82412144 has 40 divisors (see below), whose sum is σ = 164929920. Its totient is φ = 39872448.

The previous prime is 82412129. The next prime is 82412179. The reversal of 82412144 is 44121428.

It is a super-2 number, since 2×82412144² = 13583522957353472, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 62597 + ... + 63899.

It is an arithmetic number, because the mean of its divisors is an integer number (4123248).

Almost surely, 2^82412144 is an apocalyptic number.

It is an amenable number.

82412144 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

82412144 is a wasteful number, since it uses less digits than its factorization.

82412144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1431 counting only the distinct ones).

The product of its digits is 2048, while the sum is 26.

The square root of 82412144 is about 9078.1134604057. The cubic root of 82412144 is about 435.1747991733.

The spelling of 82412144 in words is "eighty-two million, four hundred twelve thousand, one hundred forty-four".