385997 has 2 divisors, whose sum is σ = 385998. Its totient is φ = 385996.

The previous prime is 385991. The next prime is 386017. The reversal of 385997 is 799583.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 264196 + 121801 = 514^2 + 349^2 .

It is a cyclic number.

It is not a de Polignac number, because 385997 - 2⁸ = 385741 is a prime.

It is a super-3 number, since 3×385997³ = 172533345139265919, which contains 333 as substring.

It is a Chen prime.

It is an Ulam number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (385991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192998 + 192999.

It is an arithmetic number, because the mean of its divisors is an integer number (192999).

2³⁸⁵⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

385997 is a deficient number, since it is larger than the sum of its proper divisors (1).

385997 is an equidigital number, since it uses as much as digits as its factorization.

385997 is an evil number, because the sum of its binary digits is even.

The product of its digits is 68040, while the sum is 41.

The square root of 385997 is about 621.2865683402. The cubic root of 385997 is about 72.8106055676.

The spelling of 385997 in words is "three hundred eighty-five thousand, nine hundred ninety-seven".