146585993 has 2 divisors, whose sum is σ = 146585994. Its totient is φ = 146585992.

The previous prime is 146585977. The next prime is 146586043. The reversal of 146585993 is 399585641.

It is a happy number.

146585993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (146586043) can be obtained adding 146585993 to its sum of digits (50).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96275344 + 50310649 = 9812^2 + 7093^2 .

It is a cyclic number.

It is not a de Polignac number, because 146585993 - 2⁴ = 146585977 is a prime.

It is not a weakly prime, because it can be changed into another prime (146585953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 73292996 + 73292997.

It is an arithmetic number, because the mean of its divisors is an integer number (73292997).

Almost surely, 2^146585993 is an apocalyptic number.

It is an amenable number.

146585993 is a deficient number, since it is larger than the sum of its proper divisors (1).

146585993 is an equidigital number, since it uses as much as digits as its factorization.

146585993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1166400, while the sum is 50.

The square root of 146585993 is about 12107.2702538599. The cubic root of 146585993 is about 527.2672833753.

The spelling of 146585993 in words is "one hundred forty-six million, five hundred eighty-five thousand, nine hundred ninety-three".