3672333 has 24 divisors (see below), whose sum is σ = 6155136. Its totient is φ = 2066400.

The previous prime is 3672311. The next prime is 3672343. The reversal of 3672333 is 3332763.

It is not a de Polignac number, because 3672333 - 2¹⁰ = 3671309 is a prime.

3672333 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 3672297 and 3672306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3672343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4063 + ... + 4883.

It is an arithmetic number, because the mean of its divisors is an integer number (256464).

Almost surely, 2^3672333 is an apocalyptic number.

It is an amenable number.

3672333 is a deficient number, since it is larger than the sum of its proper divisors (2482803).

3672333 is a wasteful number, since it uses less digits than its factorization.

3672333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 902 counting only the distinct ones).

The product of its digits is 6804, while the sum is 27.

The square root of 3672333 is about 1916.3332173711. Note that the first 3 decimals coincide. The cubic root of 3672333 is about 154.2815588975.

It can be divided in two parts, 367233 and 3, that added together give a square (367236 = 606²).

The spelling of 3672333 in words is "three million, six hundred seventy-two thousand, three hundred thirty-three".