3537333 has 12 divisors (see below), whose sum is σ = 5286060. Its totient is φ = 2276736.

The previous prime is 3537307. The next prime is 3537337. The reversal of 3537333 is 3337353.

It can be written as a sum of positive squares in 2 ways, for example, as 2331729 + 1205604 = 1527^2 + 1098^2 .

It is not a de Polignac number, because 3537333 - 2⁶ = 3537269 is a prime.

It is a super-3 number, since 3×3537333³ (a number of 21 digits) contains 333 as substring.

3537333 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 3537297 and 3537306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3537337) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6516 + ... + 7037.

It is an arithmetic number, because the mean of its divisors is an integer number (440505).

Almost surely, 2^3537333 is an apocalyptic number.

It is an amenable number.

3537333 is a deficient number, since it is larger than the sum of its proper divisors (1748727).

3537333 is a wasteful number, since it uses less digits than its factorization.

3537333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13588 (or 13585 counting only the distinct ones).

The product of its digits is 8505, while the sum is 27.

The square root of 3537333 is about 1880.7798914280. The cubic root of 3537333 is about 152.3673737172.

The spelling of 3537333 in words is "three million, five hundred thirty-seven thousand, three hundred thirty-three".