34261 has 2 divisors, whose sum is σ = 34262. Its totient is φ = 34260.

The previous prime is 34259. The next prime is 34267. The reversal of 34261 is 16243.

34261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34225 + 36 = 185^2 + 6^2 .

It is a cyclic number.

It is not a de Polignac number, because 34261 - 2¹ = 34259 is a prime.

It is a super-2 number, since 2×34261² = 2347632242, which contains 22 as substring.

Together with 34259, it forms a pair of twin primes.

It is an Ulam number.

34261 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17130 + 17131.

It is an arithmetic number, because the mean of its divisors is an integer number (17131).

2³⁴²⁶¹ is an apocalyptic number.

It is an amenable number.

34261 is a deficient number, since it is larger than the sum of its proper divisors (1).

34261 is an equidigital number, since it uses as much as digits as its factorization.

34261 is an evil number, because the sum of its binary digits is even.

The product of its digits is 144, while the sum is 16.

The square root of 34261 is about 185.0972717249. The cubic root of 34261 is about 32.4788027457.

The spelling of 34261 in words is "thirty-four thousand, two hundred sixty-one".