360261 has 16 divisors (see below), whose sum is σ = 582720. Its totient is φ = 218160.

The previous prime is 360257. The next prime is 360271. The reversal of 360261 is 162063.

It is a happy number.

360261 is a `hidden beast` number, since 3 + 602 + 61 = 666.

It is not a de Polignac number, because 360261 - 2² = 360257 is a prime.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 360261.

It is not an unprimeable number, because it can be changed into a prime (360271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310 + ... + 903.

It is an arithmetic number, because the mean of its divisors is an integer number (36420).

2³⁶⁰²⁶¹ is an apocalyptic number.

It is an amenable number.

360261 is a deficient number, since it is larger than the sum of its proper divisors (222459).

360261 is a wasteful number, since it uses less digits than its factorization.

360261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 360261 is about 600.2174605924. The cubic root of 360261 is about 71.1550535878.

It can be divided in two parts, 3602 and 61, that added together give a palindrome (3663).

The spelling of 360261 in words is "three hundred sixty thousand, two hundred sixty-one".