4000693 has 2 divisors, whose sum is σ = 4000694. Its totient is φ = 4000692.

The previous prime is 4000691. The next prime is 4000709. The reversal of 4000693 is 3960004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3912484 + 88209 = 1978^2 + 297^2 .

It is a cyclic number.

It is not a de Polignac number, because 4000693 - 2¹ = 4000691 is a prime.

Together with 4000691, it forms a pair of twin primes.

4000693 is a modest number, since divided by 693 gives 4 as remainder.

4000693 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4000691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2000346 + 2000347.

It is an arithmetic number, because the mean of its divisors is an integer number (2000347).

Almost surely, 2^4000693 is an apocalyptic number.

It is an amenable number.

4000693 is a deficient number, since it is larger than the sum of its proper divisors (1).

4000693 is an equidigital number, since it uses as much as digits as its factorization.

4000693 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 4000693 is about 2000.1732424968. The cubic root of 4000693 is about 158.7492719085.

Adding to 4000693 its reverse (3960004), we get a palindrome (7960697).

The spelling of 4000693 in words is "four million, six hundred ninety-three", and thus it is an aban number.