82567353 has 32 divisors (see below), whose sum is σ = 126922752. Its totient is φ = 47275200.

The previous prime is 82567339. The next prime is 82567357. The reversal of 82567353 is 35376528.

It is not a de Polignac number, because 82567353 - 2⁴ = 82567337 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82567357) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43051 + ... + 44927.

It is an arithmetic number, because the mean of its divisors is an integer number (3966336).

Almost surely, 2^82567353 is an apocalyptic number.

It is an amenable number.

82567353 is a deficient number, since it is larger than the sum of its proper divisors (44355399).

82567353 is a wasteful number, since it uses less digits than its factorization.

82567353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965.

The product of its digits is 151200, while the sum is 39.

The square root of 82567353 is about 9086.6579664913. The cubic root of 82567353 is about 435.4478199708.

The spelling of 82567353 in words is "eighty-two million, five hundred sixty-seven thousand, three hundred fifty-three".