38145 has 8 divisors (see below), whose sum is σ = 61056. Its totient is φ = 20336.

The previous prime is 38119. The next prime is 38149. The reversal of 38145 is 54183.

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

It is a cyclic number.

It is not a de Polignac number, because 38145 - 2⁵ = 38113 is a prime.

It is a d-powerful number, because it can be written as 3⁷ + 8⁵ + 1 + 4³ + 5⁵ .

It is an alternating number because its digits alternate between odd and even.

38145 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (38149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1257 + ... + 1286.

It is an arithmetic number, because the mean of its divisors is an integer number (7632).

It is a Proth number, since it is equal to 149 ⋅ 2⁸ + 1 and 149 < 2⁸.

2³⁸¹⁴⁵ is an apocalyptic number.

It is an amenable number.

38145 is a deficient number, since it is larger than the sum of its proper divisors (22911).

38145 is a wasteful number, since it uses less digits than its factorization.

38145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2551.

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

The square root of 38145 is about 195.3074499347. The cubic root of 38145 is about 33.6624617607.

The spelling of 38145 in words is "thirty-eight thousand, one hundred forty-five".