22038 has 8 divisors (see below), whose sum is σ = 44088. Its totient is φ = 7344.

The previous prime is 22037. The next prime is 22039. The reversal of 22038 is 83022.

It is an interprime number because it is at equal distance from previous prime (22037) and next prime (22039).

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

22038 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22031) by changing a digit.

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, 1831 + ... + 1842.

It is an arithmetic number, because the mean of its divisors is an integer number (5511).

2²²⁰³⁸ is an apocalyptic number.

22038 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 (22044).

22038 is a wasteful number, since it uses less digits than its factorization.

22038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3678.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 22038 is about 148.4520124485. The cubic root of 22038 is about 28.0365169805.

It can be divided in two parts, 2203 and 8, that added together give a triangular number (2211 = T₆₆).

The spelling of 22038 in words is "twenty-two thousand, thirty-eight".