82075653 has 32 divisors (see below), whose sum is σ = 133985280. Its totient is φ = 49241520.

The previous prime is 82075639. The next prime is 82075663. The reversal of 82075653 is 35657028.

It is not a de Polignac number, because 82075653 - 2⁶ = 82075589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82075663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29250 + ... + 31932.

It is an arithmetic number, because the mean of its divisors is an integer number (4187040).

Almost surely, 2^82075653 is an apocalyptic number.

It is an amenable number.

82075653 is a deficient number, since it is larger than the sum of its proper divisors (51909627).

82075653 is a wasteful number, since it uses less digits than its factorization.

82075653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 82075653 is about 9059.5614132253. The cubic root of 82075653 is about 434.5817144435.

It can be divided in two parts, 82075 and 653, that added together give a palindrome (82728).

The spelling of 82075653 in words is "eighty-two million, seventy-five thousand, six hundred fifty-three".