82211131 has 16 divisors (see below), whose sum is σ = 89164800. Its totient is φ = 75600448.

The previous prime is 82211123. The next prime is 82211137. The reversal of 82211131 is 13111228.

It is not a de Polignac number, because 82211131 - 2³ = 82211123 is a prime.

It is a super-2 number, since 2×82211131² = 13517340120598322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82211099 and 82211108.

It is not an unprimeable number, because it can be changed into a prime (82211137) 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, 63135 + ... + 64423.

It is an arithmetic number, because the mean of its divisors is an integer number (5572800).

Almost surely, 2^82211131 is an apocalyptic number.

82211131 is a deficient number, since it is larger than the sum of its proper divisors (6953669).

82211131 is a wasteful number, since it uses less digits than its factorization.

82211131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418.

The product of its digits is 96, while the sum is 19.

The square root of 82211131 is about 9067.0354030411. The cubic root of 82211131 is about 434.8206967904.

Adding to 82211131 its reverse (13111228), we get a palindrome (95322359).

The spelling of 82211131 in words is "eighty-two million, two hundred eleven thousand, one hundred thirty-one".