42084961 has 2 divisors, whose sum is σ = 42084962. Its totient is φ = 42084960.

The previous prime is 42084941. The next prime is 42084971. The reversal of 42084961 is 16948024.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26718561 + 15366400 = 5169^2 + 3920^2 .

It is a cyclic number.

It is not a de Polignac number, because 42084961 - 2¹¹ = 42082913 is a prime.

It is a super-2 number, since 2×42084961² = 3542287884743042, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (42084941) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21042480 + 21042481.

It is an arithmetic number, because the mean of its divisors is an integer number (21042481).

Almost surely, 2^42084961 is an apocalyptic number.

It is an amenable number.

42084961 is a deficient number, since it is larger than the sum of its proper divisors (1).

42084961 is an equidigital number, since it uses as much as digits as its factorization.

42084961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 42084961 is about 6487.2922702773. The cubic root of 42084961 is about 347.8368928905.

The spelling of 42084961 in words is "forty-two million, eighty-four thousand, nine hundred sixty-one".