461742137 has 2 divisors, whose sum is σ = 461742138. Its totient is φ = 461742136.

The previous prime is 461742133. The next prime is 461742139. The reversal of 461742137 is 731247164.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 342583081 + 119159056 = 18509^2 + 10916^2 .

It is a cyclic number.

It is not a de Polignac number, because 461742137 - 2² = 461742133 is a prime.

Together with 461742139, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 461742097 and 461742106.

It is not a weakly prime, because it can be changed into another prime (461742133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 230871068 + 230871069.

It is an arithmetic number, because the mean of its divisors is an integer number (230871069).

Almost surely, 2^461742137 is an apocalyptic number.

It is an amenable number.

461742137 is a deficient number, since it is larger than the sum of its proper divisors (1).

461742137 is an equidigital number, since it uses as much as digits as its factorization.

461742137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 28224, while the sum is 35.

The square root of 461742137 is about 21488.1859867230. The cubic root of 461742137 is about 772.9175516930.

The spelling of 461742137 in words is "four hundred sixty-one million, seven hundred forty-two thousand, one hundred thirty-seven".