67038 has 8 divisors (see below), whose sum is σ = 134088. Its totient is φ = 22344.

The previous prime is 67033. The next prime is 67043. The reversal of 67038 is 83076.

It is an interprime number because it is at equal distance from previous prime (67033) and next prime (67043).

It is a sphenic number, since it is the product of 3 distinct primes.

67038 is an admirable number.

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

It is a Curzon number.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 66999 and 67017.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 67038.

It is not an unprimeable number, because it can be changed into a prime (67033) 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, 5581 + ... + 5592.

It is an arithmetic number, because the mean of its divisors is an integer number (16761).

2⁶⁷⁰³⁸ is an apocalyptic number.

67038 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 (67044).

67038 is a wasteful number, since it uses less digits than its factorization.

67038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11178.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 67038 is about 258.9169751098. The cubic root of 67038 is about 40.6231581019.

The spelling of 67038 in words is "sixty-seven thousand, thirty-eight".