6461 has 8 divisors (see below), whose sum is σ = 8064. Its totient is φ = 5040.

The previous prime is 6451. The next prime is 6469. The reversal of 6461 is 1646.

6461 = T₈ + T₉ + ... + T₃₃.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 6461 - 2⁶ = 6397 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6469) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56 + ... + 126.

It is an arithmetic number, because the mean of its divisors is an integer number (1008).

2⁶⁴⁶¹ is an apocalyptic number.

It is an amenable number.

6461 is a deficient number, since it is larger than the sum of its proper divisors (1603).

6461 is a wasteful number, since it uses less digits than its factorization.

6461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91.

The product of its digits is 144, while the sum is 17.

The square root of 6461 is about 80.3803458564. The cubic root of 6461 is about 18.6251557725.

It can be divided in two parts, 64 and 61, that added together give a cube (125 = 5³).

The spelling of 6461 in words is "six thousand, four hundred sixty-one".