20038 has 8 divisors (see below), whose sum is σ = 30888. Its totient is φ = 9744.

The previous prime is 20029. The next prime is 20047. The reversal of 20038 is 83002.

It is an interprime number because it is at equal distance from previous prime (20029) and next prime (20047).

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

It is a congruent number.

It is an unprimeable number.

20038 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 3 ways as a sum of consecutive naturals, for example, 31 + ... + 202.

It is an arithmetic number, because the mean of its divisors is an integer number (3861).

2²⁰⁰³⁸ is an apocalyptic number.

20038 is a deficient number, since it is larger than the sum of its proper divisors (10850).

20038 is a wasteful number, since it uses less digits than its factorization.

20038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278.

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

The square root of 20038 is about 141.5556427699. Note that the first 3 decimals coincide. The cubic root of 20038 is about 27.1613566012.

The spelling of 20038 in words is "twenty thousand, thirty-eight".