34501 has 2 divisors, whose sum is σ = 34502. Its totient is φ = 34500.

The previous prime is 34499. The next prime is 34511. The reversal of 34501 is 10543.

34501 is nontrivially palindromic in base 12.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30276 + 4225 = 174^2 + 65^2 .

It is a cyclic number.

It is not a de Polignac number, because 34501 - 2¹ = 34499 is a prime.

Together with 34499, it forms a pair of twin primes.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34511) 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, 17250 + 17251.

It is an arithmetic number, because the mean of its divisors is an integer number (17251).

2³⁴⁵⁰¹ is an apocalyptic number.

It is an amenable number.

34501 is a deficient number, since it is larger than the sum of its proper divisors (1).

34501 is an equidigital number, since it uses as much as digits as its factorization.

34501 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 34501 is about 185.7444481001. The cubic root of 34501 is about 32.5544648874.

It can be divided in two parts, 34 and 501, that added together give a palindrome (535).

The spelling of 34501 in words is "thirty-four thousand, five hundred one".