1657 has 2 divisors, whose sum is σ = 1658. Its totient is φ = 1656.

The previous prime is 1637. The next prime is 1663. The reversal of 1657 is 7561.

1657 is nontrivially palindromic in base 15.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1296 + 361 = 36^2 + 19^2 .

It is an emirp because it is prime and its reverse (7561) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1657 is a prime.

1657 is an undulating number in base 15.

It is a plaindrome in base 7, base 11 and base 16.

It is a nialpdrome in base 12 and base 14.

It is not a weakly prime, because it can be changed into another prime (1607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 828 + 829.

It is an arithmetic number, because the mean of its divisors is an integer number (829).

1657 is the 24-th hex number.

It is an amenable number.

1657 is a deficient number, since it is larger than the sum of its proper divisors (1).

1657 is an equidigital number, since it uses as much as digits as its factorization.

1657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 210, while the sum is 19.

The square root of 1657 is about 40.7062648741. The cubic root of 1657 is about 11.8333443541.

The spelling of 1657 in words is "one thousand, six hundred fifty-seven".