385965 has 20 divisors (see below), whose sum is σ = 692604. Its totient is φ = 205632.

The previous prime is 385943. The next prime is 385967. The reversal of 385965 is 569583.

It can be written as a sum of positive squares in 2 ways, for example, as 149769 + 236196 = 387^2 + 486^2 .

It is not a de Polignac number, because 385965 - 2⁶ = 385901 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385967) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72 + ... + 881.

2³⁸⁵⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

385965 is a deficient number, since it is larger than the sum of its proper divisors (306639).

385965 is an equidigital number, since it uses as much as digits as its factorization.

385965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 961 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 385965 is about 621.2608147952. The cubic root of 385965 is about 72.8085934589.

The spelling of 385965 in words is "three hundred eighty-five thousand, nine hundred sixty-five".