82441152 has 224 divisors, whose sum is σ = 266598400. Its totient is φ = 25194240.

The previous prime is 82441147. The next prime is 82441157. The reversal of 82441152 is 25114428.

It is an interprime number because it is at equal distance from previous prime (82441147) and next prime (82441157).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82441157) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2659377 + ... + 2659407.

Almost surely, 2^82441152 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 82441152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133299200).

82441152 is an abundant number, since it is smaller than the sum of its proper divisors (184157248).

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

82441152 is an equidigital number, since it uses as much as digits as its factorization.

82441152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 55 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 82441152 is about 9079.7110086170. The cubic root of 82441152 is about 435.2258518020.

The spelling of 82441152 in words is "eighty-two million, four hundred forty-one thousand, one hundred fifty-two".