3461 has 2 divisors, whose sum is σ = 3462. Its totient is φ = 3460.

The previous prime is 3457. The next prime is 3463. The reversal of 3461 is 1643.

3461 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., 2500 + 961 = 50^2 + 31^2 .

It is a cyclic number.

It is not a de Polignac number, because 3461 - 2² = 3457 is a prime.

Together with 3463, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 11.

It is a nialpdrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3463) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1730 + 1731.

It is an arithmetic number, because the mean of its divisors is an integer number (1731).

2³⁴⁶¹ is an apocalyptic number.

It is an amenable number.

3461 is a deficient number, since it is larger than the sum of its proper divisors (1).

3461 is an equidigital number, since it uses as much as digits as its factorization.

3461 is an evil number, because the sum of its binary digits is even.

The product of its digits is 72, while the sum is 14.

The square root of 3461 is about 58.8302643203. The cubic root of 3461 is about 15.1263402951.

It can be divided in two parts, 3 and 461, that added together give a palindrome (464).

The spelling of 3461 in words is "three thousand, four hundred sixty-one".