82182007 has 2 divisors, whose sum is σ = 82182008. Its totient is φ = 82182006.

The previous prime is 82181947. The next prime is 82182017. The reversal of 82182007 is 70028128.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 82182007 - 2¹⁵ = 82149239 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82182017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41091003 + 41091004.

It is an arithmetic number, because the mean of its divisors is an integer number (41091004).

Almost surely, 2^82182007 is an apocalyptic number.

82182007 is a deficient number, since it is larger than the sum of its proper divisors (1).

82182007 is an equidigital number, since it uses as much as digits as its factorization.

82182007 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 82182007 is about 9065.4292231532. The cubic root of 82182007 is about 434.7693444024.

It can be divided in two parts, 821 and 82007, that added together give a palindrome (82828).

The spelling of 82182007 in words is "eighty-two million, one hundred eighty-two thousand, seven".