38537 has 4 divisors (see below), whose sum is σ = 39060. Its totient is φ = 38016.

The previous prime is 38501. The next prime is 38543. The reversal of 38537 is 73583.

38537 is nontrivially palindromic in base 5.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 5776 + 32761 = 76^2 + 181^2 .

It is a cyclic number.

It is not a de Polignac number, because 38537 - 2⁸ = 38281 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (38557) 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 in 3 ways as a sum of consecutive naturals, for example, 128 + ... + 305.

It is an arithmetic number, because the mean of its divisors is an integer number (9765).

2³⁸⁵³⁷ is an apocalyptic number.

It is an amenable number.

38537 is a deficient number, since it is larger than the sum of its proper divisors (523).

38537 is an equidigital number, since it uses as much as digits as its factorization.

38537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522.

The product of its digits is 2520, while the sum is 26.

The square root of 38537 is about 196.3084307920. The cubic root of 38537 is about 33.7773806156. Note that the first 3 decimals are identical.

It can be divided in two parts, 38 and 537, that added together give a palindrome (575).

The spelling of 38537 in words is "thirty-eight thousand, five hundred thirty-seven".