624593 has 2 divisors, whose sum is σ = 624594. Its totient is φ = 624592.

The previous prime is 624577. The next prime is 624599. The reversal of 624593 is 395426.

624593 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 506944 + 117649 = 712^2 + 343^2 .

It is a cyclic number.

It is not a de Polignac number, because 624593 - 2⁴ = 624577 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a d-powerful number, because it can be written as 6⁵ + 2⁵ + 5³ + 4⁸ + 9⁶ + 3⁹ .

It is a Curzon number.

It is a plaindrome in base 14.

It is not a weakly prime, because it can be changed into another prime (624599) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 312296 + 312297.

It is an arithmetic number, because the mean of its divisors is an integer number (312297).

2⁶²⁴⁵⁹³ is an apocalyptic number.

It is an amenable number.

624593 is a deficient number, since it is larger than the sum of its proper divisors (1).

624593 is an equidigital number, since it uses as much as digits as its factorization.

624593 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6480, while the sum is 29.

The square root of 624593 is about 790.3119637207. The cubic root of 624593 is about 85.4802343649.

The spelling of 624593 in words is "six hundred twenty-four thousand, five hundred ninety-three".