400093 has 2 divisors, whose sum is σ = 400094. Its totient is φ = 400092.

The previous prime is 400087. The next prime is 400109. The reversal of 400093 is 390004.

It is an a-pointer prime, because the next prime (400109) can be obtained adding 400093 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 268324 + 131769 = 518^2 + 363^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-400093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (400033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200046 + 200047.

It is an arithmetic number, because the mean of its divisors is an integer number (200047).

2⁴⁰⁰⁰⁹³ is an apocalyptic number.

It is an amenable number.

400093 is a deficient number, since it is larger than the sum of its proper divisors (1).

400093 is an equidigital number, since it uses as much as digits as its factorization.

400093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 400093 is about 632.5290507162. The cubic root of 400093 is about 73.6863397791.

Adding to 400093 its reverse (390004), we get a palindrome (790097).

The spelling of 400093 in words is "four hundred thousand, ninety-three".