58616801 has 8 divisors (see below), whose sum is σ = 60865320. Its totient is φ = 56383488.

The previous prime is 58616777. The next prime is 58616807. The reversal of 58616801 is 10861685.

It can be written as a sum of positive squares in 4 ways, for example, as 1221025 + 57395776 = 1105^2 + 7576^2 .

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 58616801 - 2¹⁴ = 58600417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58616807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4385 + ... + 11681.

It is an arithmetic number, because the mean of its divisors is an integer number (7608165).

Almost surely, 2^58616801 is an apocalyptic number.

It is an amenable number.

58616801 is a deficient number, since it is larger than the sum of its proper divisors (2248519).

58616801 is a wasteful number, since it uses less digits than its factorization.

58616801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7603.

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 58616801 is about 7656.1609831560. The cubic root of 58616801 is about 388.4549897694.

The spelling of 58616801 in words is "fifty-eight million, six hundred sixteen thousand, eight hundred one".