6581961 has 24 divisors (see below), whose sum is σ = 10187840. Its totient is φ = 4082400.

The previous prime is 6581959. The next prime is 6581963. The reversal of 6581961 is 1691856.

It is an interprime number because it is at equal distance from previous prime (6581959) and next prime (6581963).

It is not a de Polignac number, because 6581961 - 2¹ = 6581959 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6581963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10116 + ... + 10746.

Almost surely, 2^6581961 is an apocalyptic number.

6581961 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

6581961 is a deficient number, since it is larger than the sum of its proper divisors (3605879).

6581961 is a wasteful number, since it uses less digits than its factorization.

6581961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 714 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 6581961 is about 2565.5332778976. The cubic root of 6581961 is about 187.4066949099.

The spelling of 6581961 in words is "six million, five hundred eighty-one thousand, nine hundred sixty-one".