6006961 has 2 divisors, whose sum is σ = 6006962. Its totient is φ = 6006960.

The previous prime is 6006953. The next prime is 6006991. The reversal of 6006961 is 1696006.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5953600 + 53361 = 2440^2 + 231^2 .

It is a cyclic number.

It is not a de Polignac number, because 6006961 - 2³ = 6006953 is a prime.

It is not a weakly prime, because it can be changed into another prime (6006911) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3003480 + 3003481.

It is an arithmetic number, because the mean of its divisors is an integer number (3003481).

Almost surely, 2^6006961 is an apocalyptic number.

It is an amenable number.

6006961 is a deficient number, since it is larger than the sum of its proper divisors (1).

6006961 is an equidigital number, since it uses as much as digits as its factorization.

6006961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 6006961 is about 2450.9102390745. The cubic root of 6006961 is about 181.7823042163.

The spelling of 6006961 in words is "six million, six thousand, nine hundred sixty-one".