82138009 has 2 divisors, whose sum is σ = 82138010. Its totient is φ = 82138008.

The previous prime is 82137997. The next prime is 82138013. The reversal of 82138009 is 90083128.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41216400 + 40921609 = 6420^2 + 6397^2 .

It is a cyclic number.

It is not a de Polignac number, because 82138009 - 2¹⁵ = 82105241 is a prime.

It is not a weakly prime, because it can be changed into another prime (82138079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41069004 + 41069005.

It is an arithmetic number, because the mean of its divisors is an integer number (41069005).

Almost surely, 2^82138009 is an apocalyptic number.

It is an amenable number.

82138009 is a deficient number, since it is larger than the sum of its proper divisors (1).

82138009 is an equidigital number, since it uses as much as digits as its factorization.

82138009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 82138009 is about 9063.0022067745. The cubic root of 82138009 is about 434.6917426782.

The spelling of 82138009 in words is "eighty-two million, one hundred thirty-eight thousand, nine".