42211305 has 24 divisors (see below), whose sum is σ = 75528960. Its totient is φ = 21785760.

The previous prime is 42211303. The next prime is 42211307. The reversal of 42211305 is 50311224.

It is an interprime number because it is at equal distance from previous prime (42211303) and next prime (42211307).

It is not a de Polignac number, because 42211305 - 2¹ = 42211303 is a prime.

It is a super-3 number, since 3×42211305³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (42211303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13735 + ... + 16524.

It is an arithmetic number, because the mean of its divisors is an integer number (3147040).

Almost surely, 2^42211305 is an apocalyptic number.

42211305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42211305 is a deficient number, since it is larger than the sum of its proper divisors (33317655).

42211305 is a wasteful number, since it uses less digits than its factorization.

42211305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30301 (or 30298 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 42211305 is about 6497.0227797046. The cubic root of 42211305 is about 348.1846275557.

Adding to 42211305 its reverse (50311224), we get a palindrome (92522529).

The spelling of 42211305 in words is "forty-two million, two hundred eleven thousand, three hundred five".