82188229 has 2 divisors, whose sum is σ = 82188230. Its totient is φ = 82188228.

The previous prime is 82188173. The next prime is 82188241. The reversal of 82188229 is 92288128.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74909025 + 7279204 = 8655^2 + 2698^2 .

It is a cyclic number.

It is not a de Polignac number, because 82188229 - 2¹³ = 82180037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82188191 and 82188200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82188259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41094114 + 41094115.

It is an arithmetic number, because the mean of its divisors is an integer number (41094115).

Almost surely, 2^82188229 is an apocalyptic number.

It is an amenable number.

82188229 is a deficient number, since it is larger than the sum of its proper divisors (1).

82188229 is an equidigital number, since it uses as much as digits as its factorization.

82188229 is an evil number, because the sum of its binary digits is even.

The product of its digits is 36864, while the sum is 40.

The square root of 82188229 is about 9065.7723884951. The cubic root of 82188229 is about 434.7803162550.

The spelling of 82188229 in words is "eighty-two million, one hundred eighty-eight thousand, two hundred twenty-nine".