42164261 has 2 divisors, whose sum is σ = 42164262. Its totient is φ = 42164260.

The previous prime is 42164207. The next prime is 42164279. The reversal of 42164261 is 16246124.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41152225 + 1012036 = 6415^2 + 1006^2 .

It is a cyclic number.

It is not a de Polignac number, because 42164261 - 2¹⁰ = 42163237 is a prime.

It is a super-2 number, since 2×42164261² = 3555649811352242, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42164261.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42164281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21082130 + 21082131.

It is an arithmetic number, because the mean of its divisors is an integer number (21082131).

Almost surely, 2^42164261 is an apocalyptic number.

It is an amenable number.

42164261 is a deficient number, since it is larger than the sum of its proper divisors (1).

42164261 is an equidigital number, since it uses as much as digits as its factorization.

42164261 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2304, while the sum is 26.

The square root of 42164261 is about 6493.4013429019. The cubic root of 42164261 is about 348.0552302573.

The spelling of 42164261 in words is "forty-two million, one hundred sixty-four thousand, two hundred sixty-one".