180901 has 8 divisors (see below), whose sum is σ = 211904. Its totient is φ = 151200.

The previous prime is 180883. The next prime is 180907. The reversal of 180901 is 109081.

180901 = 44² + 45² + ... + 85².

180901 is a nontrivial binomial coefficient, being equal to C(602, 2).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 180901 - 2⁷ = 180773 is a prime.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180907) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 601.

It is an arithmetic number, because the mean of its divisors is an integer number (26488).

2¹⁸⁰⁹⁰¹ is an apocalyptic number.

180901 is the 601-st triangular number and also the 301-st hexagonal number.

180901 is the 201-st centered nonagonal number.

It is an amenable number.

180901 is a deficient number, since it is larger than the sum of its proper divisors (31003).

180901 is an equidigital number, since it uses as much as digits as its factorization.

180901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651.

The product of its (nonzero) digits is 72, while the sum is 19.

The square root of 180901 is about 425.3245819371. The cubic root of 180901 is about 56.5562131429.

Adding to 180901 its reverse (109081), we get a palindrome (289982).

It can be divided in two parts, 180 and 901, that added together give a triangular number (1081 = T₄₆).

The spelling of 180901 in words is "one hundred eighty thousand, nine hundred one".