180591349 has 2 divisors, whose sum is σ = 180591350. Its totient is φ = 180591348.

The previous prime is 180591329. The next prime is 180591353. The reversal of 180591349 is 943195081.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 157000900 + 23590449 = 12530^2 + 4857^2 .

It is an emirp because it is prime and its reverse (943195081) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-180591349 is a prime.

It is a super-2 number, since 2×180591349² = 65226470667279602, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (180591329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90295674 + 90295675.

It is an arithmetic number, because the mean of its divisors is an integer number (90295675).

Almost surely, 2^180591349 is an apocalyptic number.

It is an amenable number.

180591349 is a deficient number, since it is larger than the sum of its proper divisors (1).

180591349 is an equidigital number, since it uses as much as digits as its factorization.

180591349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 38880, while the sum is 40.

The square root of 180591349 is about 13438.4280702767. The cubic root of 180591349 is about 565.2392533593.

The spelling of 180591349 in words is "one hundred eighty million, five hundred ninety-one thousand, three hundred forty-nine".