82211652 has 48 divisors (see below), whose sum is σ = 216652800. Its totient is φ = 26952480.

The previous prime is 82211629. The next prime is 82211653. The reversal of 82211652 is 25611228.

It is a happy number.

82211652 is a `hidden beast` number, since 8 + 2 + 2 + 1 + 1 + 652 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (82211653) 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 15 ways as a sum of consecutive naturals, for example, 349 + ... + 12827.

It is an arithmetic number, because the mean of its divisors is an integer number (4513600).

Almost surely, 2^82211652 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82211652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108326400).

82211652 is an abundant number, since it is smaller than the sum of its proper divisors (134441148).

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

82211652 is a wasteful number, since it uses less digits than its factorization.

82211652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12553 (or 12545 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 82211652 is about 9067.0641334447. The cubic root of 82211652 is about 434.8216153242.

The spelling of 82211652 in words is "eighty-two million, two hundred eleven thousand, six hundred fifty-two".