6584961 has 12 divisors (see below), whose sum is σ = 8960496. Its totient is φ = 4300560.

The previous prime is 6584957. The next prime is 6584983. The reversal of 6584961 is 1694856.

It is not a de Polignac number, because 6584961 - 2² = 6584957 is a prime.

It is a super-2 number, since 2×6584961² = 86723422743042, which contains 22 as substring.

Its product of digits (51840) is a multiple of the sum of its prime factors (432).

6584961 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (6584911) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36291 + ... + 36471.

It is an arithmetic number, because the mean of its divisors is an integer number (746708).

Almost surely, 2^6584961 is an apocalyptic number.

It is an amenable number.

6584961 is a deficient number, since it is larger than the sum of its proper divisors (2375535).

6584961 is an equidigital number, since it uses as much as digits as its factorization.

6584961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 251 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 6584961 is about 2566.1178850552. The cubic root of 6584961 is about 187.4351633601.

The spelling of 6584961 in words is "six million, five hundred eighty-four thousand, nine hundred sixty-one".