82265313 has 24 divisors (see below), whose sum is σ = 119491680. Its totient is φ = 50319360.

The previous prime is 82265263. The next prime is 82265353. The reversal of 82265313 is 31356228.

It is not a de Polignac number, because 82265313 - 2¹⁸ = 82003169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82265353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106593 + ... + 107361.

It is an arithmetic number, because the mean of its divisors is an integer number (4978820).

Almost surely, 2^82265313 is an apocalyptic number.

It is an amenable number.

82265313 is a deficient number, since it is larger than the sum of its proper divisors (37226367).

82265313 is a wasteful number, since it uses less digits than its factorization.

82265313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 996 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 82265313 is about 9070.0227673364. The cubic root of 82265313 is about 434.9162000023.

The spelling of 82265313 in words is "eighty-two million, two hundred sixty-five thousand, three hundred thirteen".