82357209 has 16 divisors (see below), whose sum is σ = 133103040. Its totient is φ = 49913280.

The previous prime is 82357201. The next prime is 82357237. The reversal of 82357209 is 90275328.

It is a happy number.

82357209 is a `hidden beast` number, since 82 + 3 + 572 + 0 + 9 = 666.

It is not a de Polignac number, because 82357209 - 2³ = 82357201 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82357201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138352 + ... + 138945.

It is an arithmetic number, because the mean of its divisors is an integer number (8318940).

Almost surely, 2^82357209 is an apocalyptic number.

It is an amenable number.

82357209 is a deficient number, since it is larger than the sum of its proper divisors (50745831).

82357209 is a wasteful number, since it uses less digits than its factorization.

82357209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277317 (or 277311 counting only the distinct ones).

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

The square root of 82357209 is about 9075.0872723076. The cubic root of 82357209 is about 435.0780834860.

The spelling of 82357209 in words is "eighty-two million, three hundred fifty-seven thousand, two hundred nine".