42801733 has 16 divisors (see below), whose sum is σ = 49046256. Its totient is φ = 37002240.

The previous prime is 42801697. The next prime is 42801739. The reversal of 42801733 is 33710824.

It can be written as a sum of positive squares in 8 ways, for example, as 6041764 + 36759969 = 2458^2 + 6063^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-42801733 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42801739) 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 15 ways as a sum of consecutive naturals, for example, 64423 + ... + 65083.

It is an arithmetic number, because the mean of its divisors is an integer number (3065391).

Almost surely, 2^42801733 is an apocalyptic number.

It is an amenable number.

42801733 is a deficient number, since it is larger than the sum of its proper divisors (6244523).

42801733 is a wasteful number, since it uses less digits than its factorization.

42801733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984.

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 42801733 is about 6542.3033405674. The cubic root of 42801733 is about 349.8005203434.

Subtracting from 42801733 its reverse (33710824), we obtain a palindrome (9090909).

It can be divided in two parts, 42801 and 733, that added together give a palindrome (43534).

The spelling of 42801733 in words is "forty-two million, eight hundred one thousand, seven hundred thirty-three".