181363 has 8 divisors (see below), whose sum is σ = 223328. Its totient is φ = 143424.

The previous prime is 181361. The next prime is 181387. The reversal of 181363 is 363181.

181363 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 181363 - 2¹ = 181361 is a prime.

181363 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (181361) 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, 906 + ... + 1087.

It is an arithmetic number, because the mean of its divisors is an integer number (27916).

2¹⁸¹³⁶³ is an apocalyptic number.

181363 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

181363 is a deficient number, since it is larger than the sum of its proper divisors (41965).

181363 is a wasteful number, since it uses less digits than its factorization.

181363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2013.

The product of its digits is 432, while the sum is 22.

The square root of 181363 is about 425.8673502395. The cubic root of 181363 is about 56.6043181995.

It can be divided in two parts, 181 and 363, that multiplied together give a triangular number (65703 = T₃₆₂).

The spelling of 181363 in words is "one hundred eighty-one thousand, three hundred sixty-three".