1117657 has 2 divisors, whose sum is σ = 1117658. Its totient is φ = 1117656.

The previous prime is 1117609. The next prime is 1117661. The reversal of 1117657 is 7567111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 571536 + 546121 = 756^2 + 739^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1117657 is a prime.

1117657 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (1117607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 558828 + 558829.

It is an arithmetic number, because the mean of its divisors is an integer number (558829).

2^1117657 is an apocalyptic number.

It is an amenable number.

1117657 is a deficient number, since it is larger than the sum of its proper divisors (1).

1117657 is an equidigital number, since it uses as much as digits as its factorization.

1117657 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1470, while the sum is 28.

The square root of 1117657 is about 1057.1929814372. The cubic root of 1117657 is about 103.7774147324. Note that the first 3 decimals are identical.

The spelling of 1117657 in words is "one million, one hundred seventeen thousand, six hundred fifty-seven".