2461 has 4 divisors (see below), whose sum is σ = 2592. Its totient is φ = 2332.

The previous prime is 2459. The next prime is 2467. The reversal of 2461 is 1642.

2461 = T_{39} + T_{40} +
T_{41}.

2461 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 1642 = 2 ⋅821.

It is a cyclic number.

It is not a de Polignac number, because 2461 - 2^{1} = 2459 is a prime.

It is a Smith number, since the sum of its digits (13) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

2461 is a lucky number.

It is a plaindrome in base 9 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2467) 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 in 3 ways as a sum of consecutive naturals, for example, 31 + ... + 76.

It is an arithmetic number, because the mean of its divisors is an integer number (648).

2461 is the 41-st centered triangular number.

It is an amenable number.

2461 is a deficient number, since it is larger than the sum of its proper divisors (131).

2461 is a wasteful number, since it uses less digits than its factorization.

2461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130.

The product of its digits is 48, while the sum is 13.

The square root of 2461 is about 49.6084670192. The cubic root of 2461 is about 13.5011430216.

The spelling of 2461 in words is "two thousand, four hundred sixty-one".

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