538137 has 16 divisors (see below), whose sum is σ = 840000. Its totient is φ = 339552.

The previous prime is 538127. The next prime is 538147. The reversal of 538137 is 731835.

It is an interprime number because it is at equal distance from previous prime (538127) and next prime (538147).

It is not a de Polignac number, because 538137 - 2⁴ = 538121 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 538137.

It is not an unprimeable number, because it can be changed into a prime (538117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12 + ... + 1037.

It is an arithmetic number, because the mean of its divisors is an integer number (52500).

2⁵³⁸¹³⁷ is an apocalyptic number.

538137 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

It is an amenable number.

538137 is a deficient number, since it is larger than the sum of its proper divisors (301863).

538137 is a wasteful number, since it uses less digits than its factorization.

538137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1071 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 538137 is about 733.5782166886. The cubic root of 538137 is about 81.3387731887.

The spelling of 538137 in words is "five hundred thirty-eight thousand, one hundred thirty-seven".