180338041 has 9 divisors (see below), whose sum is σ = 195466509. Its totient is φ = 166304736.

The previous prime is 180338033. The next prime is 180338047. The reversal of 180338041 is 140833081.

The square root of 180338041 is 13429.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7678441 + 172659600 = 2771^2 + 13140^2 .

It is not a de Polignac number, because 180338041 - 2³ = 180338033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (180338047) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 174061 + ... + 175093.

It is an arithmetic number, because the mean of its divisors is an integer number (21718501).

Almost surely, 2^180338041 is an apocalyptic number.

180338041 is the 13429-th square number.

180338041 is the 6715-th centered octagonal number.

It is an amenable number.

180338041 is a deficient number, since it is larger than the sum of its proper divisors (15128468).

180338041 is an frugal number, since it uses more digits than its factorization.

180338041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2092 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The cubic root of 180338041 is about 564.9748504743.

Multiplying 180338041 by its product of nonzero digits (2304), we get a square (415498846464 = 644592²).

The spelling of 180338041 in words is "one hundred eighty million, three hundred thirty-eight thousand, forty-one".