385735 has 16 divisors (see below), whose sum is σ = 539136. Its totient is φ = 259488.

The previous prime is 385709. The next prime is 385739. The reversal of 385735 is 537583.

It is a cyclic number.

It is not a de Polignac number, because 385735 - 2⁷ = 385607 is a prime.

It is a Duffinian number.

385735 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 385697 and 385706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3552 + ... + 3658.

It is an arithmetic number, because the mean of its divisors is an integer number (33696).

2³⁸⁵⁷³⁵ is an apocalyptic number.

385735 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

385735 is a deficient number, since it is larger than the sum of its proper divisors (153401).

385735 is a wasteful number, since it uses less digits than its factorization.

385735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222.

The product of its digits is 12600, while the sum is 31.

The square root of 385735 is about 621.0756797686. The cubic root of 385735 is about 72.7941281542.

The spelling of 385735 in words is "three hundred eighty-five thousand, seven hundred thirty-five".