38853 has 8 divisors (see below), whose sum is σ = 57600. Its totient is φ = 25884.

The previous prime is 38851. The next prime is 38861. The reversal of 38853 is 35883.

It is not a de Polignac number, because 38853 - 2¹ = 38851 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 1439 = 38853 / (3 + 8 + 8 + 5 + 3).

38853 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38851) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 693 + ... + 746.

It is an arithmetic number, because the mean of its divisors is an integer number (7200).

2³⁸⁸⁵³ is an apocalyptic number.

It is an amenable number.

38853 is a deficient number, since it is larger than the sum of its proper divisors (18747).

38853 is a wasteful number, since it uses less digits than its factorization.

38853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1442 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 38853 is about 197.1116434917. Note that the first 3 decimals coincide. The cubic root of 38853 is about 33.8694532568.

It can be divided in two parts, 388 and 53, that added together give a square (441 = 21²).

The spelling of 38853 in words is "thirty-eight thousand, eight hundred fifty-three".