82986345 has 48 divisors (see below), whose sum is σ = 158558400. Its totient is φ = 39892608.

The previous prime is 82986269. The next prime is 82986361. The reversal of 82986345 is 54368928.

82986345 is a `hidden beast` number, since 8 + 2 + 9 + 8 + 634 + 5 = 666.

It is not a de Polignac number, because 82986345 - 2⁷ = 82986217 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 82986345.

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 47 ways as a sum of consecutive naturals, for example, 23506 + ... + 26804.

It is an arithmetic number, because the mean of its divisors is an integer number (3303300).

Almost surely, 2^82986345 is an apocalyptic number.

It is an amenable number.

82986345 is a deficient number, since it is larger than the sum of its proper divisors (75572055).

82986345 is a wasteful number, since it uses less digits than its factorization.

82986345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3366 (or 3363 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 82986345 is about 9109.6841328336. The cubic root of 82986345 is about 436.1831445183.

The spelling of 82986345 in words is "eighty-two million, nine hundred eighty-six thousand, three hundred forty-five".