385756 has 24 divisors (see below), whose sum is σ = 806400. Its totient is φ = 157872.

The previous prime is 385741. The next prime is 385771. The reversal of 385756 is 657583.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (385741) and next prime (385771).

It is a congruent number.

It is an unprimeable number.

385756 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 345 + ... + 943.

It is an arithmetic number, because the mean of its divisors is an integer number (33600).

2³⁸⁵⁷⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403200).

385756 is an abundant number, since it is smaller than the sum of its proper divisors (420644).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

385756 is a wasteful number, since it uses less digits than its factorization.

385756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 631 counting only the distinct ones).

The product of its digits is 25200, while the sum is 34.

The square root of 385756 is about 621.0925856907. The cubic root of 385756 is about 72.7954491379.

The spelling of 385756 in words is "three hundred eighty-five thousand, seven hundred fifty-six".