3933333 has 8 divisors (see below), whose sum is σ = 5827200. Its totient is φ = 2622204.

The previous prime is 3933301. The next prime is 3933337. The reversal of 3933333 is 3333393.

It is not a de Polignac number, because 3933333 - 2⁵ = 3933301 is a prime.

It is a super-2 number, since 2×3933333² = 30942216977778, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 145679 = 3933333 / (3 + 9 + 3 + 3 + 3 + 3 + 3).

It is a nude number because it is divisible by every one of its digits.

3933333 is a modest number, since divided by 3333 gives 393 as remainder.

3933333 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 3933297 and 3933306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3933337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72813 + ... + 72866.

It is an arithmetic number, because the mean of its divisors is an integer number (728400).

Almost surely, 2^3933333 is an apocalyptic number.

It is an amenable number.

3933333 is a deficient number, since it is larger than the sum of its proper divisors (1893867).

3933333 is a wasteful number, since it uses less digits than its factorization.

3933333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145688 (or 145682 counting only the distinct ones).

The product of its digits is 6561, while the sum is 27.

The square root of 3933333 is about 1983.2632200492. The cubic root of 3933333 is about 157.8532660034.

The spelling of 3933333 in words is "three million, nine hundred thirty-three thousand, three hundred thirty-three".