7461 has 6 divisors (see below), whose sum is σ = 10790. Its totient is φ = 4968.

The previous prime is 7459. The next prime is 7477. The reversal of 7461 is 1647.

It can be written as a sum of positive squares in only one way, i.e., 6561 + 900 = 81^2 + 30^2 .

It is not a de Polignac number, because 7461 - 2¹ = 7459 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7411) 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 5 ways as a sum of consecutive naturals, for example, 406 + ... + 423.

2⁷⁴⁶¹ is an apocalyptic number.

It is an amenable number.

7461 is a deficient number, since it is larger than the sum of its proper divisors (3329).

7461 is a wasteful number, since it uses less digits than its factorization.

7461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 832 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 7461 is about 86.3770802933. The cubic root of 7461 is about 19.5403503725.

It can be divided in two parts, 746 and 1, that added together give a palindrome (747).

The spelling of 7461 in words is "seven thousand, four hundred sixty-one".