7038 has 24 divisors (see below), whose sum is σ = 16848. Its totient is φ = 2112.

The previous prime is 7027. The next prime is 7039. The reversal of 7038 is 8307.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is an Ulam number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 7038.

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 7038.

It is not an unprimeable number, because it can be changed into a prime (7039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 295 + ... + 317.

It is an arithmetic number, because the mean of its divisors is an integer number (702).

2⁷⁰³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8424).

7038 is an abundant number, since it is smaller than the sum of its proper divisors (9810).

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

7038 is a wasteful number, since it uses less digits than its factorization.

7038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 45 counting only the distinct ones).

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

The square root of 7038 is about 83.8927887247. The cubic root of 7038 is about 19.1638643246.

Adding to 7038 its sum of digits (18), we get a square (7056 = 84²).

The spelling of 7038 in words is "seven thousand, thirty-eight".