82225311 has 32 divisors (see below), whose sum is σ = 133701120. Its totient is φ = 43877376.

The previous prime is 82225307. The next prime is 82225337. The reversal of 82225311 is 11352228.

It is not a de Polignac number, because 82225311 - 2² = 82225307 is a prime.

It is a super-2 number, since 2×82225311² = 13522003538093442, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82225301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48795 + ... + 50451.

It is an arithmetic number, because the mean of its divisors is an integer number (4178160).

Almost surely, 2^82225311 is an apocalyptic number.

82225311 is a deficient number, since it is larger than the sum of its proper divisors (51475809).

82225311 is a wasteful number, since it uses less digits than its factorization.

82225311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823.

The product of its digits is 960, while the sum is 24.

The square root of 82225311 is about 9067.8173228181. The cubic root of 82225311 is about 434.8456950396.

Adding to 82225311 its reverse (11352228), we get a palindrome (93577539).

The spelling of 82225311 in words is "eighty-two million, two hundred twenty-five thousand, three hundred eleven".