180973 has 4 divisors (see below), whose sum is σ = 194908. Its totient is φ = 167040.

The previous prime is 180959. The next prime is 181001. The reversal of 180973 is 379081.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 64009 + 116964 = 253^2 + 342^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-180973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180073) 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, 6948 + ... + 6973.

It is an arithmetic number, because the mean of its divisors is an integer number (48727).

2¹⁸⁰⁹⁷³ is an apocalyptic number.

180973 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

180973 is a deficient number, since it is larger than the sum of its proper divisors (13935).

180973 is a wasteful number, since it uses less digits than its factorization.

180973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13934.

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 180973 is about 425.4092147568. The cubic root of 180973 is about 56.5637154181.

The spelling of 180973 in words is "one hundred eighty thousand, nine hundred seventy-three".