13948 has 12 divisors (see below), whose sum is σ = 26712. Its totient is φ = 6320.

The previous prime is 13933. The next prime is 13963. The reversal of 13948 is 84931.

It is an interprime number because it is at equal distance from previous prime (13933) and next prime (13963).

It is a plaindrome in base 16.

It is a nialpdrome in base 7 and base 11.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

13948 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 115 + ... + 202.

It is an arithmetic number, because the mean of its divisors is an integer number (2226).

2¹³⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

13948 is a deficient number, since it is larger than the sum of its proper divisors (12764).

13948 is a wasteful number, since it uses less digits than its factorization.

13948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 330 counting only the distinct ones).

The product of its digits is 864, while the sum is 25.

The square root of 13948 is about 118.1016511316. The cubic root of 13948 is about 24.0715457641.

It can be divided in two parts, 13 and 948, that added together give a square (961 = 31²).

The spelling of 13948 in words is "thirteen thousand, nine hundred forty-eight".