8217265749 has 96 divisors (see below), whose sum is σ = 14718182400. Its totient is φ = 4042029600.

The previous prime is 8217265747. The next prime is 8217265753. The reversal of 8217265749 is 9475627128.

It is a happy number.

It is not a de Polignac number, because 8217265749 - 2¹ = 8217265747 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8217265747) 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 95 ways as a sum of consecutive naturals, for example, 4085154 + ... + 4087164.

It is an arithmetic number, because the mean of its divisors is an integer number (153314400).

Almost surely, 2^8217265749 is an apocalyptic number.

It is an amenable number.

8217265749 is a deficient number, since it is larger than the sum of its proper divisors (6500916651).

8217265749 is a wasteful number, since it uses less digits than its factorization.

8217265749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084 (or 2051 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 51.

The square root of 8217265749 is about 90649.1354012822. The cubic root of 8217265749 is about 2017.9440039658.

The spelling of 8217265749 in words is "eight billion, two hundred seventeen million, two hundred sixty-five thousand, seven hundred forty-nine".