6006761 has 2 divisors, whose sum is σ = 6006762. Its totient is φ = 6006760.

The previous prime is 6006757. The next prime is 6006769. The reversal of 6006761 is 1676006.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3385600 + 2621161 = 1840^2 + 1619^2 .

It is a cyclic number.

It is not a de Polignac number, because 6006761 - 2² = 6006757 is a prime.

It is a super-3 number, since 3×6006761³ (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is equal to p₄₁₃₂₈₈ and since 6006761 and 413288 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 6006761.

It is not a weakly prime, because it can be changed into another prime (6006769) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3003380 + 3003381.

It is an arithmetic number, because the mean of its divisors is an integer number (3003381).

Almost surely, 2^6006761 is an apocalyptic number.

It is an amenable number.

6006761 is a deficient number, since it is larger than the sum of its proper divisors (1).

6006761 is an equidigital number, since it uses as much as digits as its factorization.

6006761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 6006761 is about 2450.8694375670. The cubic root of 6006761 is about 181.7802867311.

The spelling of 6006761 in words is "six million, six thousand, seven hundred sixty-one".