82306217420 has 96 divisors (see below), whose sum is σ = 208476979200. Its totient is φ = 26663917824.

The previous prime is 82306217369. The next prime is 82306217449. The reversal of 82306217420 is 2471260328.

It is a super-2 number, since 2×82306217420² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 978386 + ... + 1059174.

It is an arithmetic number, because the mean of its divisors is an integer number (2171635200).

Almost surely, 2^82306217420 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 82306217420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104238489600).

82306217420 is an abundant number, since it is smaller than the sum of its proper divisors (126170761780).

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

82306217420 is a wasteful number, since it uses less digits than its factorization.

82306217420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81207 (or 81205 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

Adding to 82306217420 its reverse (2471260328), we get a palindrome (84777477748).

The spelling of 82306217420 in words is "eighty-two billion, three hundred six million, two hundred seventeen thousand, four hundred twenty".