181441 has 8 divisors (see below), whose sum is σ = 207144. Its totient is φ = 157440.

The previous prime is 181439. The next prime is 181457. The reversal of 181441 is 144181.

It can be written as a sum of positive squares in 4 ways, for example, as 9216 + 172225 = 96^2 + 415^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 181441 - 2¹ = 181439 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (181421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190 + ... + 631.

It is an arithmetic number, because the mean of its divisors is an integer number (25893).

2¹⁸¹⁴⁴¹ is an apocalyptic number.

It is an amenable number.

181441 is a deficient number, since it is larger than the sum of its proper divisors (25703).

181441 is a wasteful number, since it uses less digits than its factorization.

181441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851.

The product of its digits is 128, while the sum is 19.

The square root of 181441 is about 425.9589182069. The cubic root of 181441 is about 56.6124317692.

It can be divided in two parts, 18144 and 1, that added together give a triangular number (18145 = T₁₉₀).

The spelling of 181441 in words is "one hundred eighty-one thousand, four hundred forty-one".