82262100 has 72 divisors (see below), whose sum is σ = 244477408. Its totient is φ = 21340800.

The previous prime is 82262093. The next prime is 82262101. The reversal of 82262100 is 126228.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82262101) 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, 7395 + ... + 14805.

Almost surely, 2^82262100 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 82262100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122238704).

82262100 is an abundant number, since it is smaller than the sum of its proper divisors (162215308).

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

82262100 is a wasteful number, since it uses less digits than its factorization.

82262100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7465 (or 7458 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 82262100 is about 9069.8456436700. The cubic root of 82262100 is about 434.9105378186.

Adding to 82262100 its reverse (126228), we get a palindrome (82388328).

The spelling of 82262100 in words is "eighty-two million, two hundred sixty-two thousand, one hundred".