144008593 has 2 divisors, whose sum is σ = 144008594. Its totient is φ = 144008592.

The previous prime is 144008561. The next prime is 144008603. The reversal of 144008593 is 395800441.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74252689 + 69755904 = 8617^2 + 8352^2 .

It is a cyclic number.

It is not a de Polignac number, because 144008593 - 2⁵ = 144008561 is a prime.

It is not a weakly prime, because it can be changed into another prime (144008503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72004296 + 72004297.

It is an arithmetic number, because the mean of its divisors is an integer number (72004297).

Almost surely, 2^144008593 is an apocalyptic number.

It is an amenable number.

144008593 is a deficient number, since it is larger than the sum of its proper divisors (1).

144008593 is an equidigital number, since it uses as much as digits as its factorization.

144008593 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 144008593 is about 12000.3580363254. The cubic root of 144008593 is about 524.1587045746.

The spelling of 144008593 in words is "one hundred forty-four million, eight thousand, five hundred ninety-three".