1948 has 6 divisors (see below), whose sum is σ = 3416. Its totient is φ = 972.

The previous prime is 1933. The next prime is 1949. The reversal of 1948 is 8491.

1948 is nontrivially palindromic in base 13.

1948 is an undulating number in base 13.

It is a plaindrome in base 15 and base 16.

It is a zygodrome in base 2 and base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1949) 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, 240 + ... + 247.

It is an amenable number.

1948 is a deficient number, since it is larger than the sum of its proper divisors (1468).

1948 is a wasteful number, since it uses less digits than its factorization.

1948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 489 counting only the distinct ones).

The product of its digits is 288, while the sum is 22.

The square root of 1948 is about 44.1361529814. The cubic root of 1948 is about 12.4890570897.

It can be divided in two parts, 194 and 8, that added together give a palindrome (202).

The spelling of 1948 in words is "one thousand, nine hundred forty-eight".