38053 has 2 divisors, whose sum is σ = 38054. Its totient is φ = 38052.

The previous prime is 38047. The next prime is 38069. The reversal of 38053 is 35083.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31329 + 6724 = 177^2 + 82^2 .

It is an emirp because it is prime and its reverse (35083) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-38053 is a prime.

It is a plaindrome in base 8.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 38053.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19026 + 19027.

It is an arithmetic number, because the mean of its divisors is an integer number (19027).

2³⁸⁰⁵³ is an apocalyptic number.

It is an amenable number.

38053 is a deficient number, since it is larger than the sum of its proper divisors (1).

38053 is an equidigital number, since it uses as much as digits as its factorization.

38053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 38053 is about 195.0717816600. The cubic root of 38053 is about 33.6353770435.

The spelling of 38053 in words is "thirty-eight thousand, fifty-three".