15948 has 18 divisors (see below), whose sum is σ = 40404. Its totient is φ = 5304.

The previous prime is 15937. The next prime is 15959. The reversal of 15948 is 84951.

It is an interprime number because it is at equal distance from previous prime (15937) and next prime (15959).

It is a tau number, because it is divible by the number of its divisors (18).

It is a nialpdrome in base 7.

It is an unprimeable number.

15948 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 5 ways as a sum of consecutive naturals, for example, 186 + ... + 257.

2¹⁵⁹⁴⁸ is an apocalyptic number.

15948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

15948 is an abundant number, since it is smaller than the sum of its proper divisors (24456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

15948 is a wasteful number, since it uses less digits than its factorization.

15948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 448 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 15948 is about 126.2853910791. The cubic root of 15948 is about 25.1710930818.

The spelling of 15948 in words is "fifteen thousand, nine hundred forty-eight".