180523 has 16 divisors (see below), whose sum is σ = 229824. Its totient is φ = 138240.

The previous prime is 180511. The next prime is 180533. The reversal of 180523 is 325081.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 180523 - 2⁵ = 180491 is a prime.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 180523.

It is not an unprimeable number, because it can be changed into a prime (180503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4383 + ... + 4423.

It is an arithmetic number, because the mean of its divisors is an integer number (14364).

2¹⁸⁰⁵²³ is an apocalyptic number.

180523 is a deficient number, since it is larger than the sum of its proper divisors (49301).

180523 is a wasteful number, since it uses less digits than its factorization.

180523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102.

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 180523 is about 424.8799830540. The cubic root of 180523 is about 56.5167935043.

It can be divided in two parts, 180 and 523, that added together give a triangular number (703 = T₃₇).

The spelling of 180523 in words is "one hundred eighty thousand, five hundred twenty-three".