8752657 has 2 divisors, whose sum is σ = 8752658. Its totient is φ = 8752656.

The previous prime is 8752651. The next prime is 8752697. The reversal of 8752657 is 7562578.

It is an a-pointer prime, because the next prime (8752697) can be obtained adding 8752657 to its sum of digits (40).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7750656 + 1002001 = 2784^2 + 1001^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8752657 is a prime.

It is not a weakly prime, because it can be changed into another prime (8752651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4376328 + 4376329.

It is an arithmetic number, because the mean of its divisors is an integer number (4376329).

Almost surely, 2^8752657 is an apocalyptic number.

It is an amenable number.

8752657 is a deficient number, since it is larger than the sum of its proper divisors (1).

8752657 is an equidigital number, since it uses as much as digits as its factorization.

8752657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 117600, while the sum is 40.

The square root of 8752657 is about 2958.4889724317. The cubic root of 8752657 is about 206.0851205082.

It can be divided in two parts, 8752 and 657, that added together give a square (9409 = 97²).

The spelling of 8752657 in words is "eight million, seven hundred fifty-two thousand, six hundred fifty-seven".