42162761 has 2 divisors, whose sum is σ = 42162762. Its totient is φ = 42162760.

The previous prime is 42162751. The next prime is 42162763. The reversal of 42162761 is 16726124.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34633225 + 7529536 = 5885^2 + 2744^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-42162761 is a prime.

Together with 42162763, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (42162763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21081380 + 21081381.

It is an arithmetic number, because the mean of its divisors is an integer number (21081381).

Almost surely, 2^42162761 is an apocalyptic number.

It is an amenable number.

42162761 is a deficient number, since it is larger than the sum of its proper divisors (1).

42162761 is an equidigital number, since it uses as much as digits as its factorization.

42162761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4032, while the sum is 29.

The square root of 42162761 is about 6493.2858400043. The cubic root of 42162761 is about 348.0511028357.

Adding to 42162761 its reverse (16726124), we get a palindrome (58888885).

The spelling of 42162761 in words is "forty-two million, one hundred sixty-two thousand, seven hundred sixty-one".