82003975 has 12 divisors (see below), whose sum is σ = 102974560. Its totient is φ = 64771200.

The previous prime is 82003973. The next prime is 82003979. The reversal of 82003975 is 57930028.

It is not a de Polignac number, because 82003975 - 2¹ = 82003973 is a prime.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 82003975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82003973) 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, 18786 + ... + 22735.

Almost surely, 2^82003975 is an apocalyptic number.

82003975 is a deficient number, since it is larger than the sum of its proper divisors (20970585).

82003975 is a wasteful number, since it uses less digits than its factorization.

82003975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41610 (or 41605 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 82003975 is about 9055.6046181357. The cubic root of 82003975 is about 434.4551685097.

The spelling of 82003975 in words is "eighty-two million, three thousand, nine hundred seventy-five".