38132 has 6 divisors (see below), whose sum is σ = 66738. Its totient is φ = 19064.

The previous prime is 38119. The next prime is 38149. The reversal of 38132 is 23183.

38132 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., 26896 + 11236 = 164^2 + 106^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 38132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4763 + ... + 4770.

It is an arithmetic number, because the mean of its divisors is an integer number (11123).

2³⁸¹³² is an apocalyptic number.

It is an amenable number.

38132 is a deficient number, since it is larger than the sum of its proper divisors (28606).

38132 is a wasteful number, since it uses less digits than its factorization.

38132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9537 (or 9535 counting only the distinct ones).

The product of its digits is 144, while the sum is 17.

The square root of 38132 is about 195.2741662381. The cubic root of 38132 is about 33.6586372164.

It can be divided in two parts, 3813 and 2, that multiplied together give a triangular number (7626 = T₁₂₃).

The spelling of 38132 in words is "thirty-eight thousand, one hundred thirty-two".