538157 has 2 divisors, whose sum is σ = 538158. Its totient is φ = 538156.

The previous prime is 538151. The next prime is 538159. The reversal of 538157 is 751835.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 373321 + 164836 = 611^2 + 406^2 .

It is a cyclic number.

It is not a de Polignac number, because 538157 - 2⁶ = 538093 is a prime.

It is a super-2 number, since 2×538157² = 579225913298, which contains 22 as substring.

Together with 538159, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (538151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 269078 + 269079.

It is an arithmetic number, because the mean of its divisors is an integer number (269079).

2⁵³⁸¹⁵⁷ is an apocalyptic number.

It is an amenable number.

538157 is a deficient number, since it is larger than the sum of its proper divisors (1).

538157 is an equidigital number, since it uses as much as digits as its factorization.

538157 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4200, while the sum is 29.

The square root of 538157 is about 733.5918483735. The cubic root of 538157 is about 81.3397808350.

The spelling of 538157 in words is "five hundred thirty-eight thousand, one hundred fifty-seven".