180369 has 18 divisors (see below), whose sum is σ = 303810. Its totient is φ = 102816.

The previous prime is 180361. The next prime is 180371. The reversal of 180369 is 963081.

180369 = 35² + 36² + ... + 83².

It can be written as a sum of positive squares in only one way, i.e., 176400 + 3969 = 420^2 + 63^2 .

It is not a de Polignac number, because 180369 - 2³ = 180361 is a prime.

It is a super-2 number, since 2×180369² = 65065952322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (180361) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 237 + ... + 645.

2¹⁸⁰³⁶⁹ is an apocalyptic number.

It is an amenable number.

180369 is a deficient number, since it is larger than the sum of its proper divisors (123441).

180369 is a wasteful number, since it uses less digits than its factorization.

180369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 180369 is about 424.6987167393. The cubic root of 180369 is about 56.5007178753.

The spelling of 180369 in words is "one hundred eighty thousand, three hundred sixty-nine".