1648 has 10 divisors (see below), whose sum is σ = 3224. Its totient is φ = 816.

The previous prime is 1637. The next prime is 1657. The reversal of 1648 is 8461.

It can be divided in two parts, 16 and 48, that added together give a 6-th power (64 = 2^{6}).

1648 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

Together with 1575 it forms a betrothed pair.

It is an Ulam number.

1648 is a modest number, since divided by 48 gives 16 as remainder.

It is a plaindrome in base 6, base 11 and base 13.

It is a nialpdrome in base 12.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36 + ... + 67.

It is an amenable number.

1648 is a deficient number, since it is larger than the sum of its proper divisors (1576).

1648 is a wasteful number, since it uses less digits than its factorization.

1648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 105 counting only the distinct ones).

The product of its digits is 192, while the sum is 19.

The square root of 1648 is about 40.5955662604. The cubic root of 1648 is about 11.8118811672.

The spelling of 1648 in words is "one thousand, six hundred forty-eight".

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