82219251 has 16 divisors (see below), whose sum is σ = 117123200. Its totient is φ = 51150528.

The previous prime is 82219229. The next prime is 82219253. The reversal of 82219251 is 15291228.

It is a de Polignac number, because none of the positive numbers 2^k-82219251 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82219253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6946 + ... + 14583.

It is an arithmetic number, because the mean of its divisors is an integer number (7320200).

Almost surely, 2^82219251 is an apocalyptic number.

82219251 is a deficient number, since it is larger than the sum of its proper divisors (34903949).

82219251 is a wasteful number, since it uses less digits than its factorization.

82219251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21618.

The product of its digits is 2880, while the sum is 30.

The square root of 82219251 is about 9067.4831678917. The cubic root of 82219251 is about 434.8350120775.

The spelling of 82219251 in words is "eighty-two million, two hundred nineteen thousand, two hundred fifty-one".