363133 has 4 divisors (see below), whose sum is σ = 369148. Its totient is φ = 357120.

The previous prime is 363119. The next prime is 363149. The reversal of 363133 is 331363.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 331363 = 229 ⋅1447.

It can be written as a sum of positive squares in 2 ways, for example, as 6724 + 356409 = 82^2 + 597^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-363133 is a prime.

It is a Duffinian number.

363133 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 363133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2916 + ... + 3037.

It is an arithmetic number, because the mean of its divisors is an integer number (92287).

2³⁶³¹³³ is an apocalyptic number.

It is an amenable number.

363133 is a deficient number, since it is larger than the sum of its proper divisors (6015).

363133 is an equidigital number, since it uses as much as digits as its factorization.

363133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6014.

The product of its digits is 486, while the sum is 19.

The square root of 363133 is about 602.6051775416. The cubic root of 363133 is about 71.3436359960.

Adding to 363133 its reverse (331363), we get a palindrome (694496).

It can be divided in two parts, 363 and 133, that added together give a triangular number (496 = T₃₁).

The spelling of 363133 in words is "three hundred sixty-three thousand, one hundred thirty-three".