82782605 has 24 divisors (see below), whose sum is σ = 107425440. Its totient is φ = 61210880.

The previous prime is 82782577. The next prime is 82782619. The reversal of 82782605 is 50628728.

It is not a de Polignac number, because 82782605 - 2¹⁰ = 82781581 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84770 + ... + 85740.

It is an arithmetic number, because the mean of its divisors is an integer number (4476060).

Almost surely, 2^82782605 is an apocalyptic number.

82782605 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

82782605 is a deficient number, since it is larger than the sum of its proper divisors (24642835).

82782605 is a wasteful number, since it uses less digits than its factorization.

82782605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 82782605 is about 9098.4946557109. The cubic root of 82782605 is about 435.8258938570.

The spelling of 82782605 in words is "eighty-two million, seven hundred eighty-two thousand, six hundred five".