403728137 has 2 divisors, whose sum is σ = 403728138. Its totient is φ = 403728136.

The previous prime is 403728133. The next prime is 403728139. The reversal of 403728137 is 731827304.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 293813881 + 109914256 = 17141^2 + 10484^2 .

It is a cyclic number.

It is not a de Polignac number, because 403728137 - 2² = 403728133 is a prime.

Together with 403728139, 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 = 403728097 and 403728106.

It is not a weakly prime, because it can be changed into another prime (403728133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 201864068 + 201864069.

It is an arithmetic number, because the mean of its divisors is an integer number (201864069).

Almost surely, 2^403728137 is an apocalyptic number.

It is an amenable number.

403728137 is a deficient number, since it is larger than the sum of its proper divisors (1).

403728137 is an equidigital number, since it uses as much as digits as its factorization.

403728137 is an evil number, because the sum of its binary digits is even.

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

The square root of 403728137 is about 20092.9872592405. The cubic root of 403728137 is about 739.0883202963.

The spelling of 403728137 in words is "four hundred three million, seven hundred twenty-eight thousand, one hundred thirty-seven".