38754 has 12 divisors (see below), whose sum is σ = 84006. Its totient is φ = 12912.

The previous prime is 38749. The next prime is 38767. The reversal of 38754 is 45783.

38754 is nontrivially palindromic in base 13.

38754 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 38025 + 729 = 195^2 + 27^2 .

It is an Ulam number.

It is a Curzon number.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1059 + ... + 1094.

2³⁸⁷⁵⁴ is an apocalyptic number.

38754 is an abundant number, since it is smaller than the sum of its proper divisors (45252).

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

38754 is a wasteful number, since it uses less digits than its factorization.

38754 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2161 (or 2158 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 38754 is about 196.8603565983. The cubic root of 38754 is about 33.8406615903.

Adding to 38754 its sum of digits (27), we get a triangular number (38781 = T₂₇₈).

It can be divided in two parts, 387 and 54, that added together give a square (441 = 21²).

The spelling of 38754 in words is "thirty-eight thousand, seven hundred fifty-four".