3385833 has 32 divisors (see below), whose sum is σ = 5253120. Its totient is φ = 1920960.

The previous prime is 3385829. The next prime is 3385841.

3385833 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3385833 - 2² = 3385829 is a prime.

It is a super-2 number, since 2×3385833² = 22927730207778, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 3385794 and 3385803.

It is not an unprimeable number, because it can be changed into a prime (3385843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57358 + ... + 57416.

It is an arithmetic number, because the mean of its divisors is an integer number (164160).

Almost surely, 2^3385833 is an apocalyptic number.

3385833 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3385833 is a deficient number, since it is larger than the sum of its proper divisors (1867287).

3385833 is a wasteful number, since it uses less digits than its factorization.

3385833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157.

The product of its digits is 25920, while the sum is 33.

The square root of 3385833 is about 1840.0633141281. The cubic root of 3385833 is about 150.1603174832.

It can be divided in two parts, 33 and 85833, that multiplied together give a square (2832489 = 1683²).

The spelling of 3385833 in words is "three million, three hundred eighty-five thousand, eight hundred thirty-three".