82180461 has 32 divisors (see below), whose sum is σ = 125337600. Its totient is φ = 47436480.

The previous prime is 82180459. The next prime is 82180477. The reversal of 82180461 is 16408128.

It is not a de Polignac number, because 82180461 - 2¹ = 82180459 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82180421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75060 + ... + 76146.

It is an arithmetic number, because the mean of its divisors is an integer number (3916800).

Almost surely, 2^82180461 is an apocalyptic number.

It is an amenable number.

82180461 is a deficient number, since it is larger than the sum of its proper divisors (43157139).

82180461 is a wasteful number, since it uses less digits than its factorization.

82180461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209.

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 82180461 is about 9065.3439537615. The cubic root of 82180461 is about 434.7666181057.

Adding to 82180461 its reverse (16408128), we get a palindrome (98588589).

The spelling of 82180461 in words is "eighty-two million, one hundred eighty thousand, four hundred sixty-one".