393997 has 2 divisors, whose sum is σ = 393998. Its totient is φ = 393996.

The previous prime is 393989. The next prime is 394007. The reversal of 393997 is 799393.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 212521 + 181476 = 461^2 + 426^2 .

It is a cyclic number.

It is not a de Polignac number, because 393997 - 2³ = 393989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (393947) 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, 196998 + 196999.

It is an arithmetic number, because the mean of its divisors is an integer number (196999).

2³⁹³⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

393997 is a deficient number, since it is larger than the sum of its proper divisors (1).

393997 is an equidigital number, since it uses as much as digits as its factorization.

393997 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 45927, while the sum is 40.

The square root of 393997 is about 627.6918033558. The cubic root of 393997 is about 73.3101832345.

The spelling of 393997 in words is "three hundred ninety-three thousand, nine hundred ninety-seven".