4677137 has 2 divisors, whose sum is σ = 4677138. Its totient is φ = 4677136.

The previous prime is 4677121. The next prime is 4677139. The reversal of 4677137 is 7317764.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2483776 + 2193361 = 1576^2 + 1481^2 .

It is a cyclic number.

It is not a de Polignac number, because 4677137 - 2⁴ = 4677121 is a prime.

It is a super-2 number, since 2×4677137² = 43751221033538, which contains 22 as substring.

Together with 4677139, 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 = 4677097 and 4677106.

It is not a weakly prime, because it can be changed into another prime (4677139) 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, 2338568 + 2338569.

It is an arithmetic number, because the mean of its divisors is an integer number (2338569).

Almost surely, 2^4677137 is an apocalyptic number.

It is an amenable number.

4677137 is a deficient number, since it is larger than the sum of its proper divisors (1).

4677137 is an equidigital number, since it uses as much as digits as its factorization.

4677137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24696, while the sum is 35.

The square root of 4677137 is about 2162.6689529376. The cubic root of 4677137 is about 167.2348161474.

The spelling of 4677137 in words is "four million, six hundred seventy-seven thousand, one hundred thirty-seven".