8461657 has 2 divisors, whose sum is σ = 8461658. Its totient is φ = 8461656.

The previous prime is 8461643. The next prime is 8461693. The reversal of 8461657 is 7561648.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8088336 + 373321 = 2844^2 + 611^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8461657 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (8461627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4230828 + 4230829.

It is an arithmetic number, because the mean of its divisors is an integer number (4230829).

Almost surely, 2^8461657 is an apocalyptic number.

It is an amenable number.

8461657 is a deficient number, since it is larger than the sum of its proper divisors (1).

8461657 is an equidigital number, since it uses as much as digits as its factorization.

8461657 is an evil number, because the sum of its binary digits is even.

The product of its digits is 40320, while the sum is 37.

The square root of 8461657 is about 2908.8927446711. The cubic root of 8461657 is about 203.7754240797.

Subtracting from 8461657 its reverse (7561648), we obtain a palindrome (900009).

The spelling of 8461657 in words is "eight million, four hundred sixty-one thousand, six hundred fifty-seven".