33742761 has 16 divisors (see below), whose sum is σ = 48639360. Its totient is φ = 20684160.

The previous prime is 33742733. The next prime is 33742763. The reversal of 33742761 is 16724733.

33742761 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 33742761 - 2¹⁰ = 33741737 is a prime.

It is a super-2 number, since 2×33742761² = 2277147839806242, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33742763) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9420 + ... + 12498.

It is an arithmetic number, because the mean of its divisors is an integer number (3039960).

Almost surely, 2^33742761 is an apocalyptic number.

It is an amenable number.

33742761 is a deficient number, since it is larger than the sum of its proper divisors (14896599).

33742761 is a wasteful number, since it uses less digits than its factorization.

33742761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3376.

The product of its digits is 21168, while the sum is 33.

The square root of 33742761 is about 5808.8519519781. The cubic root of 33742761 is about 323.1420967375.

The spelling of 33742761 in words is "thirty-three million, seven hundred forty-two thousand, seven hundred sixty-one".