385033 has 16 divisors (see below), whose sum is σ = 466560. Its totient is φ = 313600.

The previous prime is 385027. The next prime is 385039. The reversal of 385033 is 330583.

It is an interprime number because it is at equal distance from previous prime (385027) and next prime (385039).

It is a cyclic number.

It is not a de Polignac number, because 385033 - 2⁵ = 385001 is a prime.

It is a super-2 number, since 2×385033² = 296500822178, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 384995 and 385013.

It is not an unprimeable number, because it can be changed into a prime (385039) 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 in 15 ways as a sum of consecutive naturals, for example, 5388 + ... + 5458.

It is an arithmetic number, because the mean of its divisors is an integer number (29160).

2³⁸⁵⁰³³ is an apocalyptic number.

It is an amenable number.

385033 is a deficient number, since it is larger than the sum of its proper divisors (81527).

385033 is a wasteful number, since it uses less digits than its factorization.

385033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128.

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 385033 is about 620.5102738875. The cubic root of 385033 is about 72.7499419389.

It can be divided in two parts, 3850 and 33, that added together give a palindrome (3883).

The spelling of 385033 in words is "three hundred eighty-five thousand, thirty-three".