32013 has 6 divisors (see below), whose sum is σ = 46254. Its totient is φ = 21336.

The previous prime is 32009. The next prime is 32027. The reversal of 32013 is 31023.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 21609 + 10404 = 147^2 + 102^2 .

It is not a de Polignac number, because 32013 - 2² = 32009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 3557 = 32013 / (3 + 2 + 0 + 1 + 3).

32013 is a lucky number.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 31986 and 32004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32003) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1770 + ... + 1787.

It is an arithmetic number, because the mean of its divisors is an integer number (7709).

2³²⁰¹³ is an apocalyptic number.

It is an amenable number.

32013 is a deficient number, since it is larger than the sum of its proper divisors (14241).

32013 is a wasteful number, since it uses less digits than its factorization.

32013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3563 (or 3560 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 32013 is about 178.9217706150. The cubic root of 32013 is about 31.7523196685.

Adding to 32013 its reverse (31023), we get a palindrome (63036).

Subtracting from 32013 its reverse (31023), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 320 and 13, that added together give a palindrome (333).

The spelling of 32013 in words is "thirty-two thousand, thirteen".