82461330 has 144 divisors (see below), whose sum is σ = 261069120. Its totient is φ = 17641152.

The previous prime is 82461319. The next prime is 82461331. The reversal of 82461330 is 3316428.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 82461294 and 82461303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82461331) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 993469 + ... + 993551.

It is an arithmetic number, because the mean of its divisors is an integer number (1812980).

Almost surely, 2^82461330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82461330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130534560).

82461330 is an abundant number, since it is smaller than the sum of its proper divisors (178607790).

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

82461330 is a wasteful number, since it uses less digits than its factorization.

82461330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 82461330 is about 9080.8220993476. The cubic root of 82461330 is about 435.2613570104.

Adding to 82461330 its reverse (3316428), we get a palindrome (85777758).

The spelling of 82461330 in words is "eighty-two million, four hundred sixty-one thousand, three hundred thirty".