82180413 has 24 divisors (see below), whose sum is σ = 140690368. Its totient is φ = 46959264.

The previous prime is 82180381. The next prime is 82180421. The reversal of 82180413 is 31408128.

It is not a de Polignac number, because 82180413 - 2⁵ = 82180381 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82180013) 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 23 ways as a sum of consecutive naturals, for example, 22456 + ... + 25857.

Almost surely, 2^82180413 is an apocalyptic number.

It is an amenable number.

82180413 is a deficient number, since it is larger than the sum of its proper divisors (58509955).

82180413 is an equidigital number, since it uses as much as digits as its factorization.

82180413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48335 (or 48323 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 82180413 is about 9065.3413063161. The cubic root of 82180413 is about 434.7665334594.

The spelling of 82180413 in words is "eighty-two million, one hundred eighty thousand, four hundred thirteen".