180747 has 24 divisors (see below), whose sum is σ = 316160. Its totient is φ = 97200.

The previous prime is 180731. The next prime is 180749. The reversal of 180747 is 747081.

It is not a de Polignac number, because 180747 - 2⁴ = 180731 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

180747 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 180747.

It is not an unprimeable number, because it can be changed into a prime (180749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1122 + ... + 1272.

2¹⁸⁰⁷⁴⁷ is an apocalyptic number.

180747 is a deficient number, since it is larger than the sum of its proper divisors (135413).

180747 is a wasteful number, since it uses less digits than its factorization.

180747 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 180747 is about 425.1435051838. The cubic root of 180747 is about 56.5401599251.

It can be divided in two parts, 18074 and 7, that added together give a palindrome (18081).

The spelling of 180747 in words is "one hundred eighty thousand, seven hundred forty-seven".