34457 has 2 divisors, whose sum is σ = 34458. Its totient is φ = 34456.

The previous prime is 34439. The next prime is 34469. The reversal of 34457 is 75443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30976 + 3481 = 176^2 + 59^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34457 is a prime.

It is a Chen prime.

It is a plaindrome in base 10.

It is a nialpdrome in base 15.

It is not a weakly prime, because it can be changed into another prime (34487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17228 + 17229.

It is an arithmetic number, because the mean of its divisors is an integer number (17229).

2³⁴⁴⁵⁷ is an apocalyptic number.

It is an amenable number.

34457 is a deficient number, since it is larger than the sum of its proper divisors (1).

34457 is an equidigital number, since it uses as much as digits as its factorization.

34457 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1680, while the sum is 23.

The square root of 34457 is about 185.6259680109. The cubic root of 34457 is about 32.5406198220.

The spelling of 34457 in words is "thirty-four thousand, four hundred fifty-seven".