42035201 has 24 divisors (see below), whose sum is σ = 48966120. Its totient is φ = 36065952.

The previous prime is 42035173. The next prime is 42035243. The reversal of 42035201 is 10253024.

It can be written as a sum of positive squares in 4 ways, for example, as 8673025 + 33362176 = 2945^2 + 5776^2 .

It is not a de Polignac number, because 42035201 - 2¹⁴ = 42018817 is a prime.

It is a super-2 number, since 2×42035201² = 3533916246220802, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 42035201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42035281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 793091 + ... + 793143.

It is an arithmetic number, because the mean of its divisors is an integer number (2040255).

Almost surely, 2^42035201 is an apocalyptic number.

It is an amenable number.

42035201 is a deficient number, since it is larger than the sum of its proper divisors (6930919).

42035201 is an equidigital number, since it uses as much as digits as its factorization.

42035201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 42035201 is about 6483.4559457129. The cubic root of 42035201 is about 347.6997481758.

Adding to 42035201 its reverse (10253024), we get a palindrome (52288225).

The spelling of 42035201 in words is "forty-two million, thirty-five thousand, two hundred one".