58006681 has 2 divisors, whose sum is σ = 58006682. Its totient is φ = 58006680.

The previous prime is 58006661. The next prime is 58006687. The reversal of 58006681 is 18660085.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33454656 + 24552025 = 5784^2 + 4955^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-58006681 is a prime.

It is a super-2 number, since 2×58006681² = 6729550081271522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (58006687) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29003340 + 29003341.

It is an arithmetic number, because the mean of its divisors is an integer number (29003341).

Almost surely, 2^58006681 is an apocalyptic number.

It is an amenable number.

58006681 is a deficient number, since it is larger than the sum of its proper divisors (1).

58006681 is an equidigital number, since it uses as much as digits as its factorization.

58006681 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 58006681 is about 7616.2117223722. The cubic root of 58006681 is about 387.1025263236.

The spelling of 58006681 in words is "fifty-eight million, six thousand, six hundred eighty-one".