83218047 has 32 divisors (see below), whose sum is σ = 124001280. Its totient is φ = 49221120.

The previous prime is 83218021. The next prime is 83218061. The reversal of 83218047 is 74081238.

It is not a de Polignac number, because 83218047 - 2¹⁵ = 83185279 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 83217999 and 83218017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83218067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 357043 + ... + 357275.

It is an arithmetic number, because the mean of its divisors is an integer number (3875040).

Almost surely, 2^83218047 is an apocalyptic number.

83218047 is a deficient number, since it is larger than the sum of its proper divisors (40783233).

83218047 is a wasteful number, since it uses less digits than its factorization.

83218047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463.

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 83218047 is about 9122.3926137829. The cubic root of 83218047 is about 436.5887156338.

It can be divided in two parts, 83 and 218047, that added together give a triangular number (218130 = T₆₆₀).

The spelling of 83218047 in words is "eighty-three million, two hundred eighteen thousand, forty-seven".