42819201 has 12 divisors (see below), whose sum is σ = 61920612. Its totient is φ = 28513536.

The previous prime is 42819199. The next prime is 42819223. The reversal of 42819201 is 10291824.

It can be written as a sum of positive squares in 2 ways, for example, as 4626801 + 38192400 = 2151^2 + 6180^2 .

It is not a de Polignac number, because 42819201 - 2¹ = 42819199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42819251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7705 + ... + 12041.

It is an arithmetic number, because the mean of its divisors is an integer number (5160051).

Almost surely, 2^42819201 is an apocalyptic number.

It is an amenable number.

42819201 is a deficient number, since it is larger than the sum of its proper divisors (19101411).

42819201 is a wasteful number, since it uses less digits than its factorization.

42819201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5440 (or 5437 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 42819201 is about 6543.6382082141. The cubic root of 42819201 is about 349.8481000714.

The spelling of 42819201 in words is "forty-two million, eight hundred nineteen thousand, two hundred one".