38253 has 8 divisors (see below), whose sum is σ = 52416. Its totient is φ = 24800.

The previous prime is 38239. The next prime is 38261. The reversal of 38253 is 35283.

Added to its reverse (35283) it gives a triangular number (73536 = T₃₈₃).

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 38253 - 2⁴ = 38237 is a prime.

It is an Ulam number.

It is a Curzon number.

It is a plaindrome in base 8.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38253.

It is not an unprimeable number, because it can be changed into a prime (38273) 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, 33 + ... + 278.

It is an arithmetic number, because the mean of its divisors is an integer number (6552).

2³⁸²⁵³ is an apocalyptic number.

It is an amenable number.

38253 is a deficient number, since it is larger than the sum of its proper divisors (14163).

38253 is a wasteful number, since it uses less digits than its factorization.

38253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355.

The product of its digits is 720, while the sum is 21.

The square root of 38253 is about 195.5837416556. The cubic root of 38253 is about 33.6942013521.

Adding to 38253 its reverse (35283), we get a triangular number (73536 = T₃₈₃).

It can be divided in two parts, 3825 and 3, that added together give a triangular number (3828 = T₈₇).

The spelling of 38253 in words is "thirty-eight thousand, two hundred fifty-three".