727157 has 2 divisors, whose sum is σ = 727158. Its totient is φ = 727156.

The previous prime is 727123. The next prime is 727159. The reversal of 727157 is 751727.

727157 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., 630436 + 96721 = 794^2 + 311^2 .

It is an emirp because it is prime and its reverse (751727) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 727157 - 2¹⁶ = 661621 is a prime.

Together with 727159, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p₅₈₅₇₄ and since 727157 and 58574 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (727159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 363578 + 363579.

It is an arithmetic number, because the mean of its divisors is an integer number (363579).

2⁷²⁷¹⁵⁷ is an apocalyptic number.

It is an amenable number.

727157 is a deficient number, since it is larger than the sum of its proper divisors (1).

727157 is an equidigital number, since it uses as much as digits as its factorization.

727157 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3430, while the sum is 29.

The square root of 727157 is about 852.7350115950. The cubic root of 727157 is about 89.9240923747.

The spelling of 727157 in words is "seven hundred twenty-seven thousand, one hundred fifty-seven".