82517853 has 32 divisors (see below), whose sum is σ = 124250112. Its totient is φ = 48281600.

The previous prime is 82517849. The next prime is 82517861. The reversal of 82517853 is 35871528.

It is a cyclic number.

It is not a de Polignac number, because 82517853 - 2² = 82517849 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82517053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128413 + ... + 129053.

It is an arithmetic number, because the mean of its divisors is an integer number (3882816).

Almost surely, 2^82517853 is an apocalyptic number.

82517853 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

It is an amenable number.

82517853 is a deficient number, since it is larger than the sum of its proper divisors (41732259).

82517853 is a wasteful number, since it uses less digits than its factorization.

82517853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785.

The product of its digits is 67200, while the sum is 39.

The square root of 82517853 is about 9083.9337844350. The cubic root of 82517853 is about 435.3607840534.

The spelling of 82517853 in words is "eighty-two million, five hundred seventeen thousand, eight hundred fifty-three".