67014 has 32 divisors (see below), whose sum is σ = 159840. Its totient is φ = 20736.

The previous prime is 67003. The next prime is 67021. The reversal of 67014 is 41076.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

67014 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 882 + ... + 954.

It is an arithmetic number, because the mean of its divisors is an integer number (4995).

2⁶⁷⁰¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79920).

67014 is an abundant number, since it is smaller than the sum of its proper divisors (92826).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

67014 is a wasteful number, since it uses less digits than its factorization.

67014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 67014 is about 258.8706240577. The cubic root of 67014 is about 40.6183097464.

The spelling of 67014 in words is "sixty-seven thousand, fourteen".