82105288 has 32 divisors (see below), whose sum is σ = 158641560. Its totient is φ = 39813120.

The previous prime is 82105279. The next prime is 82105297. The reversal of 82105288 is 88250128.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82105279) and next prime (82105297).

It can be written as a sum of positive squares in 4 ways, for example, as 66879684 + 15225604 = 8178^2 + 3902^2 .

It is an unprimeable number.

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, 62656 + ... + 63952.

Almost surely, 2^82105288 is an apocalyptic number.

It is an amenable number.

82105288 is a deficient number, since it is larger than the sum of its proper divisors (76536272).

82105288 is a wasteful number, since it uses less digits than its factorization.

82105288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 34.

The square root of 82105288 is about 9061.1968304413. The cubic root of 82105288 is about 434.6340128572.

The spelling of 82105288 in words is "eighty-two million, one hundred five thousand, two hundred eighty-eight".