54037 has 2 divisors, whose sum is σ = 54038. Its totient is φ = 54036.

The previous prime is 54013. The next prime is 54049. The reversal of 54037 is 73045.

54037 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53361 + 676 = 231^2 + 26^2 .

It is a cyclic number.

It is not a de Polignac number, because 54037 - 2¹⁵ = 21269 is a prime.

It is a Chen prime.

It is a plaindrome in base 14.

It is a nialpdrome in base 9.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (54437) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27018 + 27019.

It is an arithmetic number, because the mean of its divisors is an integer number (27019).

2⁵⁴⁰³⁷ is an apocalyptic number.

It is an amenable number.

54037 is a deficient number, since it is larger than the sum of its proper divisors (1).

54037 is an equidigital number, since it uses as much as digits as its factorization.

54037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 54037 is about 232.4585984643. The cubic root of 54037 is about 37.8062623183.

The spelling of 54037 in words is "fifty-four thousand, thirty-seven".