73608593 has 6 divisors (see below), whose sum is σ = 74247174. Its totient is φ = 72971616.

The previous prime is 73608581. The next prime is 73608599. The reversal of 73608593 is 39580637.

It can be written as a sum of positive squares in 3 ways, for example, as 56896849 + 16711744 = 7543^2 + 4088^2 .

It is not a de Polignac number, because 73608593 - 2¹⁴ = 73592209 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 73608593.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73608599) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 100055 + ... + 100787.

It is an arithmetic number, because the mean of its divisors is an integer number (12374529).

Almost surely, 2^73608593 is an apocalyptic number.

It is an amenable number.

73608593 is a deficient number, since it is larger than the sum of its proper divisors (638581).

73608593 is an frugal number, since it uses more digits than its factorization.

73608593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 41.

The square root of 73608593 is about 8579.5450345575. The cubic root of 73608593 is about 419.0921300476.

The spelling of 73608593 in words is "seventy-three million, six hundred eight thousand, five hundred ninety-three".