362241 has 12 divisors (see below), whose sum is σ = 570960. Its totient is φ = 219480.

The previous prime is 362237. The next prime is 362281. The reversal of 362241 is 142263.

It is a happy number.

362241 is a `hidden beast` number, since 3 + 622 + 41 = 666.

It is not a de Polignac number, because 362241 - 2² = 362237 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 362241.

It is not an unprimeable number, because it can be changed into a prime (362221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1731 + ... + 1928.

It is an arithmetic number, because the mean of its divisors is an integer number (47580).

2³⁶²²⁴¹ is an apocalyptic number.

It is an amenable number.

362241 is a deficient number, since it is larger than the sum of its proper divisors (208719).

362241 is a wasteful number, since it uses less digits than its factorization.

362241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3676 (or 3673 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 362241 is about 601.8646027139. The cubic root of 362241 is about 71.2851719239.

It can be divided in two parts, 3622 and 41, that added together give a palindrome (3663).

The spelling of 362241 in words is "three hundred sixty-two thousand, two hundred forty-one".