38514 has 24 divisors (see below), whose sum is σ = 90288. Its totient is φ = 10920.

The previous prime is 38501. The next prime is 38543. The reversal of 38514 is 41583.

38514 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38514.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 229 + ... + 359.

It is an arithmetic number, because the mean of its divisors is an integer number (3762).

2³⁸⁵¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45144).

38514 is an abundant number, since it is smaller than the sum of its proper divisors (51774).

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

38514 is a wasteful number, since it uses less digits than its factorization.

38514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 143 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 38514 is about 196.2498407643. The cubic root of 38514 is about 33.7706595047.

The spelling of 38514 in words is "thirty-eight thousand, five hundred fourteen".