360045 has 40 divisors (see below), whose sum is σ = 743424. Its totient is φ = 163296.

The previous prime is 360037. The next prime is 360049. The reversal of 360045 is 540063.

It is a happy number.

It is not a de Polignac number, because 360045 - 2³ = 360037 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2772 + ... + 2898.

2³⁶⁰⁰⁴⁵ is an apocalyptic number.

360045 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

360045 is an abundant number, since it is smaller than the sum of its proper divisors (383379).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

360045 is a wasteful number, since it uses less digits than its factorization.

360045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 360045 is about 600.0374988282. The cubic root of 360045 is about 71.1408300441.

Adding to 360045 its sum of digits (18), we get a palindrome (360063).

The spelling of 360045 in words is "three hundred sixty thousand, forty-five".