182013 has 12 divisors (see below), whose sum is σ = 263520. Its totient is φ = 111696.

The previous prime is 182011. The next prime is 182027. The reversal of 182013 is 310281.

It is a happy number.

It is not a de Polignac number, because 182013 - 2¹ = 182011 is a prime.

It is a Curzon number.

182013 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 181983 and 182001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (182011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 328 + ... + 686.

It is an arithmetic number, because the mean of its divisors is an integer number (21960).

2¹⁸²⁰¹³ is an apocalyptic number.

182013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

182013 is a deficient number, since it is larger than the sum of its proper divisors (81507).

182013 is a wasteful number, since it uses less digits than its factorization.

182013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 182013 is about 426.6298161170. The cubic root of 182013 is about 56.6718603467.

Adding to 182013 its reverse (310281), we get a palindrome (492294).

The spelling of 182013 in words is "one hundred eighty-two thousand, thirteen".