67004 has 12 divisors (see below), whose sum is σ = 134064. Its totient is φ = 28704.

The previous prime is 67003. The next prime is 67021. The reversal of 67004 is 40076.

67004 is an admirable number.

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 polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1169 + ... + 1224.

It is an arithmetic number, because the mean of its divisors is an integer number (11172).

2⁶⁷⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

67004 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67032).

67004 is a wasteful number, since it uses less digits than its factorization.

67004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2404 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 67004 is about 258.8513086697. The cubic root of 67004 is about 40.6162892567.

It can be divided in two parts, 6 and 7004, that multiplied together give a palindrome (42024).

The spelling of 67004 in words is "sixty-seven thousand, four".