456935137 has 2 divisors, whose sum is σ = 456935138. Its totient is φ = 456935136.

The previous prime is 456935113. The next prime is 456935159. The reversal of 456935137 is 731539654.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 386358336 + 70576801 = 19656^2 + 8401^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-456935137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 456935093 and 456935102.

It is not a weakly prime, because it can be changed into another prime (456930137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228467568 + 228467569.

It is an arithmetic number, because the mean of its divisors is an integer number (228467569).

Almost surely, 2^456935137 is an apocalyptic number.

It is an amenable number.

456935137 is a deficient number, since it is larger than the sum of its proper divisors (1).

456935137 is an equidigital number, since it uses as much as digits as its factorization.

456935137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 340200, while the sum is 43.

The square root of 456935137 is about 21376.0411910157. The cubic root of 456935137 is about 770.2260184312.

The spelling of 456935137 in words is "four hundred fifty-six million, nine hundred thirty-five thousand, one hundred thirty-seven".