363013 has 4 divisors (see below), whose sum is σ = 414880. Its totient is φ = 311148.

The previous prime is 362987. The next prime is 363017. The reversal of 363013 is 310363.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-363013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25923 + ... + 25936.

It is an arithmetic number, because the mean of its divisors is an integer number (103720).

2³⁶³⁰¹³ is an apocalyptic number.

It is an amenable number.

363013 is a deficient number, since it is larger than the sum of its proper divisors (51867).

363013 is an equidigital number, since it uses as much as digits as its factorization.

363013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51866.

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 363013 is about 602.5056016337. The cubic root of 363013 is about 71.3357764519.

Adding to 363013 its reverse (310363), we get a palindrome (673376).

Subtracting from 363013 its reverse (310363), we obtain a triangular number (52650 = T₃₂₄).

The spelling of 363013 in words is "three hundred sixty-three thousand, thirteen".