82509673 has 2 divisors, whose sum is σ = 82509674. Its totient is φ = 82509672.

The previous prime is 82509659. The next prime is 82509677. The reversal of 82509673 is 37690528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80066704 + 2442969 = 8948^2 + 1563^2 .

It is a cyclic number.

It is not a de Polignac number, because 82509673 - 2⁵ = 82509641 is a prime.

It is a super-2 number, since 2×82509673² = 13615692277133858, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (82509677) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41254836 + 41254837.

It is an arithmetic number, because the mean of its divisors is an integer number (41254837).

Almost surely, 2^82509673 is an apocalyptic number.

It is an amenable number.

82509673 is a deficient number, since it is larger than the sum of its proper divisors (1).

82509673 is an equidigital number, since it uses as much as digits as its factorization.

82509673 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 82509673 is about 9083.4835278102. The cubic root of 82509673 is about 435.3463977974.

The spelling of 82509673 in words is "eighty-two million, five hundred nine thousand, six hundred seventy-three".