360582121 has 9 divisors (see below), whose sum is σ = 383383749. Its totient is φ = 339067584.

The previous prime is 360582119. The next prime is 360582139. The reversal of 360582121 is 121285063.

The square root of 360582121 is 18989.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 27154521 + 333427600 = 5211^2 + 18260^2 .

It is not a de Polignac number, because 360582121 - 2¹ = 360582119 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 360582121.

It is not an unprimeable number, because it can be changed into a prime (360582181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 322255 + ... + 323371.

Almost surely, 2^360582121 is an apocalyptic number.

360582121 is the 18989-th square number.

360582121 is the 9495-th centered octagonal number.

It is an amenable number.

360582121 is a deficient number, since it is larger than the sum of its proper divisors (22801628).

360582121 is an frugal number, since it uses more digits than its factorization.

360582121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2268 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The cubic root of 360582121 is about 711.7618881692.

The spelling of 360582121 in words is "three hundred sixty million, five hundred eighty-two thousand, one hundred twenty-one".