180961 has 4 divisors (see below), whose sum is σ = 197424. Its totient is φ = 164500.

The previous prime is 180959. The next prime is 181001. The reversal of 180961 is 169081.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 180961 - 2¹ = 180959 is a prime.

It is a Duffinian number.

180961 is a lucky number.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (180161) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8215 + ... + 8236.

It is an arithmetic number, because the mean of its divisors is an integer number (49356).

2¹⁸⁰⁹⁶¹ is an apocalyptic number.

180961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

180961 is a deficient number, since it is larger than the sum of its proper divisors (16463).

180961 is a wasteful number, since it uses less digits than its factorization.

180961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16462.

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 180961 is about 425.3951104561. The cubic root of 180961 is about 56.5624651771.

The spelling of 180961 in words is "one hundred eighty thousand, nine hundred sixty-one".