180661 has 6 divisors (see below), whose sum is σ = 195810. Its totient is φ = 166608.

The previous prime is 180647. The next prime is 180667. The reversal of 180661 is 166081.

180661 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 36 + 180625 = 6^2 + 425^2 .

It is not a de Polignac number, because 180661 - 2⁵ = 180629 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180667) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 366 + ... + 703.

It is an arithmetic number, because the mean of its divisors is an integer number (32635).

2¹⁸⁰⁶⁶¹ is an apocalyptic number.

It is an amenable number.

180661 is a deficient number, since it is larger than the sum of its proper divisors (15149).

180661 is a wasteful number, since it uses less digits than its factorization.

180661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 180661 is about 425.0423508311. The cubic root of 180661 is about 56.5311911729.

It can be divided in two parts, 180 and 661, that added together give a square (841 = 29²).

The spelling of 180661 in words is "one hundred eighty thousand, six hundred sixty-one".