360945 has 24 divisors (see below), whose sum is σ = 674856. Its totient is φ = 177408.

The previous prime is 360907. The next prime is 360947. The reversal of 360945 is 549063.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11664 + 349281 = 108^2 + 591^2 .

It is not a de Polignac number, because 360945 - 2⁷ = 360817 is a prime.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 360945.

It is not an unprimeable number, because it can be changed into a prime (360947) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277 + ... + 893.

It is an arithmetic number, because the mean of its divisors is an integer number (28119).

2³⁶⁰⁹⁴⁵ is an apocalyptic number.

It is an amenable number.

360945 is a deficient number, since it is larger than the sum of its proper divisors (313911).

360945 is a wasteful number, since it uses less digits than its factorization.

360945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 360945 is about 600.7869838803. The cubic root of 360945 is about 71.2000573370.

The spelling of 360945 in words is "three hundred sixty thousand, nine hundred forty-five".