82363567 has 16 divisors (see below), whose sum is σ = 100104480. Its totient is φ = 66729600.

The previous prime is 82363531. The next prime is 82363577. The reversal of 82363567 is 76536328.

It is a cyclic number.

It is not a de Polignac number, because 82363567 - 2¹⁵ = 82330799 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82363577) 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, 5784 + ... + 14077.

It is an arithmetic number, because the mean of its divisors is an integer number (6256530).

Almost surely, 2^82363567 is an apocalyptic number.

82363567 is a deficient number, since it is larger than the sum of its proper divisors (17740913).

82363567 is a wasteful number, since it uses less digits than its factorization.

82363567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19914.

The product of its digits is 181440, while the sum is 40.

The square root of 82363567 is about 9075.4375652086. The cubic root of 82363567 is about 435.0892792485.

The spelling of 82363567 in words is "eighty-two million, three hundred sixty-three thousand, five hundred sixty-seven".