42084211 has 12 divisors (see below), whose sum is σ = 45812952. Its totient is φ = 38640576.

The previous prime is 42084193. The next prime is 42084233. The reversal of 42084211 is 11248024.

42084211 = T₂₅₃₈ + T₂₅₃₉ + ... + T₂₅₅₀.

It is not a de Polignac number, because 42084211 - 2⁵ = 42084179 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42084311) 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, 37815 + ... + 38911.

It is an arithmetic number, because the mean of its divisors is an integer number (3817746).

Almost surely, 2^42084211 is an apocalyptic number.

42084211 is a deficient number, since it is larger than the sum of its proper divisors (3728741).

42084211 is a wasteful number, since it uses less digits than its factorization.

42084211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 42084211 is about 6487.2344647007. The cubic root of 42084211 is about 347.8348266004.

The spelling of 42084211 in words is "forty-two million, eighty-four thousand, two hundred eleven".