67013 has 4 divisors (see below), whose sum is σ = 70560. Its totient is φ = 63468.

The previous prime is 67003. The next prime is 67021. The reversal of 67013 is 31076.

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 not a de Polignac number, because 67013 - 2⁶ = 66949 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 66982 and 67000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67003) 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, 1745 + ... + 1782.

It is an arithmetic number, because the mean of its divisors is an integer number (17640).

2⁶⁷⁰¹³ is an apocalyptic number.

It is an amenable number.

67013 is a deficient number, since it is larger than the sum of its proper divisors (3547).

67013 is a wasteful number, since it uses less digits than its factorization.

67013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3546.

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 67013 is about 258.8686925837. The cubic root of 67013 is about 40.6181077065.

Adding to 67013 its reverse (31076), we get a palindrome (98089).

Subtracting from 67013 its reverse (31076), we obtain a cube (35937 = 33³).

The spelling of 67013 in words is "sixty-seven thousand, thirteen".