3828033 has 16 divisors (see below), whose sum is σ = 6187200. Its totient is φ = 2319840.

The previous prime is 3828023. The next prime is 3828037. The reversal of 3828033 is 3308283.

It is not a de Polignac number, because 3828033 - 2¹⁶ = 3762497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3827988 and 3828006.

It is not an unprimeable number, because it can be changed into a prime (3828037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6148 + ... + 6741.

It is an arithmetic number, because the mean of its divisors is an integer number (386700).

Almost surely, 2^3828033 is an apocalyptic number.

3828033 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3828033 is a deficient number, since it is larger than the sum of its proper divisors (2359167).

3828033 is a wasteful number, since it uses less digits than its factorization.

3828033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12909 (or 12903 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3828033 is about 1956.5359695135. The cubic root of 3828033 is about 156.4318654642.

The spelling of 3828033 in words is "three million, eight hundred twenty-eight thousand, thirty-three".