82421940 has 96 divisors (see below), whose sum is σ = 239629824. Its totient is φ = 21150720.

The previous prime is 82421929. The next prime is 82421947. The reversal of 82421940 is 4912428.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 82421898 and 82421907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82421947) 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 31 ways as a sum of consecutive naturals, for example, 304005 + ... + 304275.

It is an arithmetic number, because the mean of its divisors is an integer number (2496144).

Almost surely, 2^82421940 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 82421940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119814912).

82421940 is an abundant number, since it is smaller than the sum of its proper divisors (157207884).

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

82421940 is a wasteful number, since it uses less digits than its factorization.

82421940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 82421940 is about 9078.6529837856. The cubic root of 82421940 is about 435.1920409827.

The spelling of 82421940 in words is "eighty-two million, four hundred twenty-one thousand, nine hundred forty".