180824041 has 2 divisors, whose sum is σ = 180824042. Its totient is φ = 180824040.

The previous prime is 180824003. The next prime is 180824047. The reversal of 180824041 is 140428081.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106502400 + 74321641 = 10320^2 + 8621^2 .

It is a cyclic number.

It is not a de Polignac number, because 180824041 - 2⁷ = 180823913 is a prime.

It is a Chen prime.

It is equal to p_10073575 and since 180824041 and 10073575 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (180824047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90412020 + 90412021.

It is an arithmetic number, because the mean of its divisors is an integer number (90412021).

Almost surely, 2^180824041 is an apocalyptic number.

It is an amenable number.

180824041 is a deficient number, since it is larger than the sum of its proper divisors (1).

180824041 is an equidigital number, since it uses as much as digits as its factorization.

180824041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 180824041 is about 13447.0829922329. The cubic root of 180824041 is about 565.4819194721.

The spelling of 180824041 in words is "one hundred eighty million, eight hundred twenty-four thousand, forty-one".