82214820 has 72 divisors (see below), whose sum is σ = 252435456. Its totient is φ = 21655872.

The previous prime is 82214809. The next prime is 82214831. The reversal of 82214820 is 2841228.

It is an interprime number because it is at equal distance from previous prime (82214809) and next prime (82214831).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12189 + ... + 17691.

It is an arithmetic number, because the mean of its divisors is an integer number (3506048).

Almost surely, 2^82214820 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 82214820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126217728).

82214820 is an abundant number, since it is smaller than the sum of its proper divisors (170220636).

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

82214820 is a wasteful number, since it uses less digits than its factorization.

82214820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5601 (or 5596 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 82214820 is about 9067.2388299857. The cubic root of 82214820 is about 434.8272004902.

It can be divided in two parts, 8221 and 4820, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 82214820 in words is "eighty-two million, two hundred fourteen thousand, eight hundred twenty".