34057 has 2 divisors, whose sum is σ = 34058. Its totient is φ = 34056.

The previous prime is 34039. The next prime is 34061. The reversal of 34057 is 75043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32761 + 1296 = 181^2 + 36^2 .

It is a cyclic number.

It is not a de Polignac number, because 34057 - 2¹¹ = 32009 is a prime.

It is a Chen prime.

It is a plaindrome in base 13.

It is not a weakly prime, because it can be changed into another prime (34157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17028 + 17029.

It is an arithmetic number, because the mean of its divisors is an integer number (17029).

2³⁴⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

34057 is a deficient number, since it is larger than the sum of its proper divisors (1).

34057 is an equidigital number, since it uses as much as digits as its factorization.

34057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 34057 is about 184.5453873712. The cubic root of 34057 is about 32.4142116184.

The spelling of 34057 in words is "thirty-four thousand, fifty-seven".