42084193 has 2 divisors, whose sum is σ = 42084194. Its totient is φ = 42084192.

The previous prime is 42084187. The next prime is 42084233. The reversal of 42084193 is 39148024.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41177889 + 906304 = 6417^2 + 952^2 .

It is a cyclic number.

It is not a de Polignac number, because 42084193 - 2²⁵ = 8529761 is a prime.

It is a super-2 number, since 2×42084193² = 3542158600922498, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (42084103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21042096 + 21042097.

It is an arithmetic number, because the mean of its divisors is an integer number (21042097).

Almost surely, 2^42084193 is an apocalyptic number.

It is an amenable number.

42084193 is a deficient number, since it is larger than the sum of its proper divisors (1).

42084193 is an equidigital number, since it uses as much as digits as its factorization.

42084193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 42084193 is about 6487.2330773605. The cubic root of 42084193 is about 347.8347770091.

The spelling of 42084193 in words is "forty-two million, eighty-four thousand, one hundred ninety-three".