363963 has 4 divisors (see below), whose sum is σ = 485288. Its totient is φ = 242640.

The previous prime is 363959. The next prime is 363967. The reversal of 363963 is 369363.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 369363 = 3 ⋅123121.

It is an interprime number because it is at equal distance from previous prime (363959) and next prime (363967).

It is not a de Polignac number, because 363963 - 2² = 363959 is a prime.

It is a D-number.

It is a Duffinian number.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 363963.

It is not an unprimeable number, because it can be changed into a prime (363967) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60658 + ... + 60663.

It is an arithmetic number, because the mean of its divisors is an integer number (121322).

2³⁶³⁹⁶³ is an apocalyptic number.

363963 is a deficient number, since it is larger than the sum of its proper divisors (121325).

363963 is a wasteful number, since it uses less digits than its factorization.

363963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121324.

The product of its digits is 8748, while the sum is 30.

The square root of 363963 is about 603.2934609293. The cubic root of 363963 is about 71.3979504939.

It can be divided in two parts, 363 and 963, that added together give a triangular number (1326 = T₅₁).

The spelling of 363963 in words is "three hundred sixty-three thousand, nine hundred sixty-three".