4157 has 2 divisors, whose sum is σ = 4158. Its totient is φ = 4156.

The previous prime is 4153. The next prime is 4159. The reversal of 4157 is 7514.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3481 + 676 = 59^2 + 26^2 .

It is a cyclic number.

It is not a de Polignac number, because 4157 - 2² = 4153 is a prime.

Together with 4159, it forms a pair of twin primes.

It is a Chen prime.

It is a d-powerful number, because it can be written as 4⁵ + 5⁵ + 1 + 7 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4157.

It is not a weakly prime, because it can be changed into another prime (4153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2078 + 2079.

It is an arithmetic number, because the mean of its divisors is an integer number (2079).

2⁴¹⁵⁷ is an apocalyptic number.

It is an amenable number.

4157 is a deficient number, since it is larger than the sum of its proper divisors (1).

4157 is an equidigital number, since it uses as much as digits as its factorization.

4157 is an evil number, because the sum of its binary digits is even.

The product of its digits is 140, while the sum is 17.

The square root of 4157 is about 64.4748012793. The cubic root of 4157 is about 16.0790360222.

It can be divided in two parts, 4 and 157, that added together give a palindrome (161).

The spelling of 4157 in words is "four thousand, one hundred fifty-seven".