181912001 has 2 divisors, whose sum is σ = 181912002. Its totient is φ = 181912000.

The previous prime is 181911959. The next prime is 181912007. The reversal of 181912001 is 100219181.

181912001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 181710400 + 201601 = 13480^2 + 449^2 .

It is a cyclic number.

It is not a de Polignac number, because 181912001 - 2¹⁸ = 181649857 is a prime.

It is a super-3 number, since 3×181912001³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (181912007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90956000 + 90956001.

It is an arithmetic number, because the mean of its divisors is an integer number (90956001).

Almost surely, 2^181912001 is an apocalyptic number.

It is an amenable number.

181912001 is a deficient number, since it is larger than the sum of its proper divisors (1).

181912001 is an equidigital number, since it uses as much as digits as its factorization.

181912001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 23.

The square root of 181912001 is about 13487.4757089679. The cubic root of 181912001 is about 566.6137600356.

The spelling of 181912001 in words is "one hundred eighty-one million, nine hundred twelve thousand, one".