456761141 has 2 divisors, whose sum is σ = 456761142. Its totient is φ = 456761140.

The previous prime is 456761131. The next prime is 456761143. The reversal of 456761141 is 141167654.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 398162116 + 58599025 = 19954^2 + 7655^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-456761141 is a prime.

Together with 456761143, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (456761143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228380570 + 228380571.

It is an arithmetic number, because the mean of its divisors is an integer number (228380571).

Almost surely, 2^456761141 is an apocalyptic number.

It is an amenable number.

456761141 is a deficient number, since it is larger than the sum of its proper divisors (1).

456761141 is an equidigital number, since it uses as much as digits as its factorization.

456761141 is an evil number, because the sum of its binary digits is even.

The product of its digits is 20160, while the sum is 35.

The square root of 456761141 is about 21371.9709198754. The cubic root of 456761141 is about 770.1282414167.

The spelling of 456761141 in words is "four hundred fifty-six million, seven hundred sixty-one thousand, one hundred forty-one".