2038 has 4 divisors (see below), whose sum is σ = 3060. Its totient is φ = 1018.

The previous prime is 2029. The next prime is 2039. The reversal of 2038 is 8302.

It is a semiprime because it is the product of two primes.

It is a Smith number, since the sum of its digits (13) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 508 + ... + 511.

It is an arithmetic number, because the mean of its divisors is an integer number (765).

2038 is a deficient number, since it is larger than the sum of its proper divisors (1022).

2038 is a wasteful number, since it uses less digits than its factorization.

2038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021.

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2038 is about 45.1442133612. The cubic root of 2038 is about 12.6785053982.

Subtracting from 2038 its sum of digits (13), we obtain a square (2025 = 45²).

The spelling of 2038 in words is "two thousand, thirty-eight".