33742135 has 12 divisors (see below), whose sum is σ = 47101608. Its totient is φ = 23137296.

The previous prime is 33742123. The next prime is 33742207. The reversal of 33742135 is 53124733.

33742135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 33742135 - 2¹³ = 33733943 is a prime.

It is a super-2 number, since 2×33742135² = 2277063348716450, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 68617 + ... + 69106.

It is an arithmetic number, because the mean of its divisors is an integer number (3925134).

Almost surely, 2^33742135 is an apocalyptic number.

33742135 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

33742135 is a deficient number, since it is larger than the sum of its proper divisors (13359473).

33742135 is a wasteful number, since it uses less digits than its factorization.

33742135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137742 (or 137735 counting only the distinct ones).

The product of its digits is 7560, while the sum is 28.

The square root of 33742135 is about 5808.7980684476. The cubic root of 33742135 is about 323.1400984007.

Adding to 33742135 its reverse (53124733), we get a palindrome (86866868).

The spelling of 33742135 in words is "thirty-three million, seven hundred forty-two thousand, one hundred thirty-five".