82565418 has 64 divisors (see below), whose sum is σ = 184504320. Its totient is φ = 24470208.

The previous prime is 82565411. The next prime is 82565419. The reversal of 82565418 is 81456528.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82565411) 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, 345343 + ... + 345581.

It is an arithmetic number, because the mean of its divisors is an integer number (2882880).

Almost surely, 2^82565418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82565418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92252160).

82565418 is an abundant number, since it is smaller than the sum of its proper divisors (101938902).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82565418 is a wasteful number, since it uses less digits than its factorization.

82565418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403.

The product of its digits is 76800, while the sum is 39.

The square root of 82565418 is about 9086.5514910773. The cubic root of 82565418 is about 435.4444183111. Note that the first 4 decimals are identical.

The spelling of 82565418 in words is "eighty-two million, five hundred sixty-five thousand, four hundred eighteen".