180949 has 2 divisors, whose sum is σ = 180950. Its totient is φ = 180948.

The previous prime is 180907. The next prime is 180959. The reversal of 180949 is 949081.

180949 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., 180625 + 324 = 425^2 + 18^2 .

It is a cyclic number.

It is not a de Polignac number, because 180949 - 2⁹ = 180437 is a prime.

It is a Chen prime.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 180949.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (180959) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90474 + 90475.

It is an arithmetic number, because the mean of its divisors is an integer number (90475).

2¹⁸⁰⁹⁴⁹ is an apocalyptic number.

It is an amenable number.

180949 is a deficient number, since it is larger than the sum of its proper divisors (1).

180949 is an equidigital number, since it uses as much as digits as its factorization.

180949 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 180949 is about 425.3810056878. The cubic root of 180949 is about 56.5612148808.

It can be divided in two parts, 180 and 949, that multiplied together give a triangular number (170820 = T₅₈₄).

The spelling of 180949 in words is "one hundred eighty thousand, nine hundred forty-nine".