58064401 has 8 divisors (see below), whose sum is σ = 62172360. Its totient is φ = 54033408.

The previous prime is 58064389. The next prime is 58064417. The reversal of 58064401 is 10446085.

It is a Cunningham number, because it is equal to 7620²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1 + 58064400 = 1^2 + 7620^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 58064401 - 2¹¹ = 58062353 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 58064401.

It is not an unprimeable number, because it can be changed into a prime (58064431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17676 + ... + 20701.

It is an arithmetic number, because the mean of its divisors is an integer number (7771545).

Almost surely, 2^58064401 is an apocalyptic number.

It is an amenable number.

58064401 is a deficient number, since it is larger than the sum of its proper divisors (4107959).

58064401 is a wasteful number, since it uses less digits than its factorization.

58064401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38483.

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 58064401 is about 7620.0000656168. Note that the first 4 decimals coincide. The cubic root of 58064401 is about 387.2308802218.

The spelling of 58064401 in words is "fifty-eight million, sixty-four thousand, four hundred one".