58006241 has 2 divisors, whose sum is σ = 58006242. Its totient is φ = 58006240.

The previous prime is 58006237. The next prime is 58006271. The reversal of 58006241 is 14260085.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55815841 + 2190400 = 7471^2 + 1480^2 .

It is a cyclic number.

It is not a de Polignac number, because 58006241 - 2² = 58006237 is a prime.

It is a Chen prime.

It is equal to p_3450680 and since 58006241 and 3450680 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 58006241.

It is not a weakly prime, because it can be changed into another prime (58006231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29003120 + 29003121.

It is an arithmetic number, because the mean of its divisors is an integer number (29003121).

Almost surely, 2^58006241 is an apocalyptic number.

It is an amenable number.

58006241 is a deficient number, since it is larger than the sum of its proper divisors (1).

58006241 is an equidigital number, since it uses as much as digits as its factorization.

58006241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 58006241 is about 7616.1828365658. The cubic root of 58006241 is about 387.1015475540.

The spelling of 58006241 in words is "fifty-eight million, six thousand, two hundred forty-one".