3742533 has 24 divisors (see below), whose sum is σ = 5832216. Its totient is φ = 2304000.

The previous prime is 3742523. The next prime is 3742561. The reversal of 3742533 is 3352473.

3742533 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1127844 + 2614689 = 1062^2 + 1617^2 .

It is not a de Polignac number, because 3742533 - 2¹² = 3738437 is a prime.

It is a super-3 number, since 3×3742533³ (a number of 21 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3742497 and 3742506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3742523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9133 + ... + 9533.

It is an arithmetic number, because the mean of its divisors is an integer number (243009).

Almost surely, 2^3742533 is an apocalyptic number.

It is an amenable number.

3742533 is a deficient number, since it is larger than the sum of its proper divisors (2089683).

3742533 is a wasteful number, since it uses less digits than its factorization.

3742533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 482 counting only the distinct ones).

The product of its digits is 7560, while the sum is 27.

The square root of 3742533 is about 1934.5627412932. The cubic root of 3742533 is about 155.2584380891.

The spelling of 3742533 in words is "three million, seven hundred forty-two thousand, five hundred thirty-three".