34157 has 2 divisors, whose sum is σ = 34158. Its totient is φ = 34156.

The previous prime is 34147. The next prime is 34159. The reversal of 34157 is 75143.

It is a happy number.

34157 is nontrivially palindromic in base 11.

34157 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., 32041 + 2116 = 179^2 + 46^2 .

It is a cyclic number.

It is not a de Polignac number, because 34157 - 2⁴ = 34141 is a prime.

Together with 34159, 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 (34159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17078 + 17079.

It is an arithmetic number, because the mean of its divisors is an integer number (17079).

2³⁴¹⁵⁷ is an apocalyptic number.

It is an amenable number.

34157 is a deficient number, since it is larger than the sum of its proper divisors (1).

34157 is an equidigital number, since it uses as much as digits as its factorization.

34157 is an evil number, because the sum of its binary digits is even.

The product of its digits is 420, while the sum is 20.

The square root of 34157 is about 184.8161248376. The cubic root of 34157 is about 32.4459060697.

It can be divided in two parts, 34 and 157, that added together give a palindrome (191).

The spelling of 34157 in words is "thirty-four thousand, one hundred fifty-seven".