38751 has 4 divisors (see below), whose sum is σ = 51672. Its totient is φ = 25832.

The previous prime is 38749. The next prime is 38767. The reversal of 38751 is 15783.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 15783 = 3 ⋅5261.

It is a cyclic number.

It is not a de Polignac number, because 38751 - 2¹ = 38749 is a prime.

It is a D-number.

38751 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6456 + ... + 6461.

It is an arithmetic number, because the mean of its divisors is an integer number (12918).

2³⁸⁷⁵¹ is an apocalyptic number.

38751 is the 125-th centered pentagonal number.

38751 is a deficient number, since it is larger than the sum of its proper divisors (12921).

38751 is a wasteful number, since it uses less digits than its factorization.

38751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12920.

The product of its digits is 840, while the sum is 24.

The square root of 38751 is about 196.8527368364. The cubic root of 38751 is about 33.8397883505.

The spelling of 38751 in words is "thirty-eight thousand, seven hundred fifty-one".