363612 has 24 divisors (see below), whose sum is σ = 858256. Its totient is φ = 119808.

The previous prime is 363611. The next prime is 363619. The reversal of 363612 is 216363.

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between odd and even.

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 363612.

It is not an unprimeable number, because it can be changed into a prime (363611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1788 + ... + 1980.

2³⁶³⁶¹² is an apocalyptic number.

It is an amenable number.

363612 is an abundant number, since it is smaller than the sum of its proper divisors (494644).

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

363612 is a wasteful number, since it uses less digits than its factorization.

363612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 355 counting only the distinct ones).

The product of its digits is 648, while the sum is 21.

The square root of 363612 is about 603.0024875571. The cubic root of 363612 is about 71.3749914377.

Adding to 363612 its reverse (216363), we get a palindrome (579975).

It can be divided in two parts, 36361 and 2, that added together give a palindrome (36363).

The spelling of 363612 in words is "three hundred sixty-three thousand, six hundred twelve".