42772041 has 36 divisors (see below), whose sum is σ = 68144076. Its totient is φ = 25833600.

The previous prime is 42772039. The next prime is 42772091. The reversal of 42772041 is 14027724.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 21344400 + 21427641 = 4620^2 + 4629^2 .

It is not a de Polignac number, because 42772041 - 2¹ = 42772039 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42771996 and 42772014.

It is not an unprimeable number, because it can be changed into a prime (42772031) 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 35 ways as a sum of consecutive naturals, for example, 92551 + ... + 93011.

It is an arithmetic number, because the mean of its divisors is an integer number (1892891).

Almost surely, 2^42772041 is an apocalyptic number.

It is an amenable number.

42772041 is a deficient number, since it is larger than the sum of its proper divisors (25372035).

42772041 is a wasteful number, since it uses less digits than its factorization.

42772041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 42772041 is about 6540.0337155094. The cubic root of 42772041 is about 349.7196148992.

Adding to 42772041 its reverse (14027724), we get a palindrome (56799765).

The spelling of 42772041 in words is "forty-two million, seven hundred seventy-two thousand, forty-one".