82537209 has 24 divisors (see below), whose sum is σ = 122109000. Its totient is φ = 53706240.

The previous prime is 82537207. The next prime is 82537229. The reversal of 82537209 is 90273528.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4161600 + 78375609 = 2040^2 + 8853^2 .

It is not a de Polignac number, because 82537209 - 2¹ = 82537207 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82537201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81297 + ... + 82305.

It is an arithmetic number, because the mean of its divisors is an integer number (5087875).

Almost surely, 2^82537209 is an apocalyptic number.

It is an amenable number.

82537209 is a deficient number, since it is larger than the sum of its proper divisors (39571791).

82537209 is a wasteful number, since it uses less digits than its factorization.

82537209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 82537209 is about 9084.9991194276. Note that the first 3 decimals coincide. The cubic root of 82537209 is about 435.3948218777.

The spelling of 82537209 in words is "eighty-two million, five hundred thirty-seven thousand, two hundred nine".