838993 has 2 divisors, whose sum is σ = 838994. Its totient is φ = 838992.

The previous prime is 838991. The next prime is 839009. The reversal of 838993 is 399838.

838993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 439569 + 399424 = 663^2 + 632^2 .

It is a cyclic number.

It is not a de Polignac number, because 838993 - 2¹ = 838991 is a prime.

Together with 838991, it forms a pair of twin primes.

It is a plaindrome in base 15.

It is not a weakly prime, because it can be changed into another prime (838991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 419496 + 419497.

It is an arithmetic number, because the mean of its divisors is an integer number (419497).

2⁸³⁸⁹⁹³ is an apocalyptic number.

It is an amenable number.

838993 is a deficient number, since it is larger than the sum of its proper divisors (1).

838993 is an equidigital number, since it uses as much as digits as its factorization.

838993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 46656, while the sum is 40.

The square root of 838993 is about 915.9656107082. The cubic root of 838993 is about 94.3161604198.

The spelling of 838993 in words is "eight hundred thirty-eight thousand, nine hundred ninety-three".