8961257 has 2 divisors, whose sum is σ = 8961258. Its totient is φ = 8961256.

The previous prime is 8961223. The next prime is 8961269. The reversal of 8961257 is 7521698.

8961257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4618201 + 4343056 = 2149^2 + 2084^2 .

It is a cyclic number.

It is not a de Polignac number, because 8961257 - 2¹⁸ = 8699113 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 8961257.

It is not a weakly prime, because it can be changed into another prime (8960257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4480628 + 4480629.

It is an arithmetic number, because the mean of its divisors is an integer number (4480629).

Almost surely, 2^8961257 is an apocalyptic number.

It is an amenable number.

8961257 is a deficient number, since it is larger than the sum of its proper divisors (1).

8961257 is an equidigital number, since it uses as much as digits as its factorization.

8961257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 30240, while the sum is 38.

The square root of 8961257 is about 2993.5358691688. The cubic root of 8961257 is about 207.7094763655.

The spelling of 8961257 in words is "eight million, nine hundred sixty-one thousand, two hundred fifty-seven".