180461 has 4 divisors (see below), whose sum is σ = 182172. Its totient is φ = 178752.

The previous prime is 180437. The next prime is 180463. The reversal of 180461 is 164081.

180461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 164081 = 71 ⋅2311.

It can be written as a sum of positive squares in 2 ways, for example, as 15625 + 164836 = 125^2 + 406^2 .

It is a cyclic number.

It is not a de Polignac number, because 180461 - 2¹⁰ = 179437 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 180461.

It is not an unprimeable number, because it can be changed into a prime (180463) 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, 686 + ... + 911.

It is an arithmetic number, because the mean of its divisors is an integer number (45543).

2¹⁸⁰⁴⁶¹ is an apocalyptic number.

It is an amenable number.

180461 is a deficient number, since it is larger than the sum of its proper divisors (1711).

180461 is a wasteful number, since it uses less digits than its factorization.

180461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710.

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 180461 is about 424.8070150080. The cubic root of 180461 is about 56.5103225977.

The spelling of 180461 in words is "one hundred eighty thousand, four hundred sixty-one".