180005381 has 2 divisors, whose sum is σ = 180005382. Its totient is φ = 180005380.

The previous prime is 180005341. The next prime is 180005389. The reversal of 180005381 is 183500081.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 162154756 + 17850625 = 12734^2 + 4225^2 .

It is a cyclic number.

It is not a de Polignac number, because 180005381 - 2⁶ = 180005317 is a prime.

It is a super-2 number, since 2×180005381² = 64803874377910322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 180005381.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (180005389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90002690 + 90002691.

It is an arithmetic number, because the mean of its divisors is an integer number (90002691).

Almost surely, 2^180005381 is an apocalyptic number.

It is an amenable number.

180005381 is a deficient number, since it is larger than the sum of its proper divisors (1).

180005381 is an equidigital number, since it uses as much as digits as its factorization.

180005381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 960, while the sum is 26.

The square root of 180005381 is about 13416.6084015298. The cubic root of 180005381 is about 564.6272436224.

The spelling of 180005381 in words is "one hundred eighty million, five thousand, three hundred eighty-one".