402593 has 2 divisors, whose sum is σ = 402594. Its totient is φ = 402592.

The previous prime is 402587. The next prime is 402601. The reversal of 402593 is 395204.

402593 is nontrivially palindromic in base 8.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 380689 + 21904 = 617^2 + 148^2 .

It is a cyclic number.

It is not a de Polignac number, because 402593 - 2⁶ = 402529 is a prime.

It is a super-2 number, since 2×402593² = 324162247298, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (402503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 201296 + 201297.

It is an arithmetic number, because the mean of its divisors is an integer number (201297).

2⁴⁰²⁵⁹³ is an apocalyptic number.

It is an amenable number.

402593 is a deficient number, since it is larger than the sum of its proper divisors (1).

402593 is an equidigital number, since it uses as much as digits as its factorization.

402593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 402593 is about 634.5021670570. The cubic root of 402593 is about 73.8394987381.

Adding to 402593 its reverse (395204), we get a palindrome (797797).

The spelling of 402593 in words is "four hundred two thousand, five hundred ninety-three".