82227488 has 54 divisors (see below), whose sum is σ = 189141561. Its totient is φ = 35086464.

The previous prime is 82227479. The next prime is 82227491. The reversal of 82227488 is 88472228.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 61905424 + 20322064 = 7868^2 + 4508^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6412.

It is a super-4 number, since 4×82227488⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 358958 + ... + 359186.

Almost surely, 2^82227488 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 82227488

82227488 is an abundant number, since it is smaller than the sum of its proper divisors (106914073).

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

82227488 is an equidigital number, since it uses as much as digits as its factorization.

82227488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 238 counting only the distinct ones).

The product of its digits is 114688, while the sum is 41.

The square root of 82227488 is about 9067.9373619363. The cubic root of 82227488 is about 434.8495326686.

The spelling of 82227488 in words is "eighty-two million, two hundred twenty-seven thousand, four hundred eighty-eight".