58766401 has 2 divisors, whose sum is σ = 58766402. Its totient is φ = 58766400.

The previous prime is 58766353. The next prime is 58766413. The reversal of 58766401 is 10466785.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45914176 + 12852225 = 6776^2 + 3585^2 .

It is a cyclic number.

It is not a de Polignac number, because 58766401 - 2⁷ = 58766273 is a prime.

It is not a weakly prime, because it can be changed into another prime (58763401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29383200 + 29383201.

It is an arithmetic number, because the mean of its divisors is an integer number (29383201).

Almost surely, 2^58766401 is an apocalyptic number.

It is an amenable number.

58766401 is a deficient number, since it is larger than the sum of its proper divisors (1).

58766401 is an equidigital number, since it uses as much as digits as its factorization.

58766401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 58766401 is about 7665.9246669922. The cubic root of 58766401 is about 388.7851766641.

The spelling of 58766401 in words is "fifty-eight million, seven hundred sixty-six thousand, four hundred one".