82441300 has 18 divisors (see below), whose sum is σ = 178897838. Its totient is φ = 32976480.

The previous prime is 82441241. The next prime is 82441343. The reversal of 82441300 is 314428.

It can be written as a sum of positive squares in 3 ways, for example, as 26071236 + 56370064 = 5106^2 + 7508^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 412107 + ... + 412306.

Almost surely, 2^82441300 is an apocalyptic number.

It is an amenable number.

82441300 is an abundant number, since it is smaller than the sum of its proper divisors (96456538).

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

82441300 is a wasteful number, since it uses less digits than its factorization.

82441300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824427 (or 824420 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 82441300 is about 9079.7191586524. The cubic root of 82441300 is about 435.2261122439.

Adding to 82441300 its reverse (314428), we get a palindrome (82755728).

It can be divided in two parts, 824 and 41300, that added together give a palindrome (42124).

The spelling of 82441300 in words is "eighty-two million, four hundred forty-one thousand, three hundred".