363 has 6 divisors (see below), whose sum is σ = 532. Its totient is φ = 220.

The previous prime is 359. The next prime is 367.

363 = T_{2} + T_{3} + ... +
T_{12}.

363 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (359) and next prime (367).

It is not a de Polignac number, because 363 - 2^{2} = 359 is a prime.

It is an Ulam number.

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

It is a Duffinian number.

363 is an undulating number in base 10.

It is a plaindrome in base 4, base 14 and base 16.

It is a nialpdrome in base 3, base 8, base 9 and base 11.

It is not an unprimeable number, because it can be changed into a prime (367) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28 + ... + 38.

363 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

363 is a deficient number, since it is larger than the sum of its proper divisors (169).

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

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

The sum of its prime factors is 25 (or 14 counting only the distinct ones).

The product of its digits is 54, while the sum is 12.

The square root of 363 is about 19.0525588833. The cubic root of 363 is about 7.1334924897.

Subtracting from 363 its sum of digits (12), we obtain a triangular number (351 = T_{26}).

Multiplying 363 by its sum of digits (12), we get a square (4356 = 66^{2}).

It can be divided in two parts, 3 and 63, that added together give a palindrome (66).

The spelling of 363 in words is "three hundred sixty-three", and thus it is an aban number and an oban number.

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