163948 has 12 divisors (see below), whose sum is σ = 303912. Its totient is φ = 77120.

The previous prime is 163927. The next prime is 163973. The reversal of 163948 is 849361.

It is a plaindrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1138 + ... + 1273.

It is an arithmetic number, because the mean of its divisors is an integer number (25326).

2¹⁶³⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

163948 is a deficient number, since it is larger than the sum of its proper divisors (139964).

163948 is a wasteful number, since it uses less digits than its factorization.

163948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432 (or 2430 counting only the distinct ones).

The product of its digits is 5184, while the sum is 31.

The square root of 163948 is about 404.9049271125. The cubic root of 163948 is about 54.7312509212.

It can be divided in two parts, 163 and 948, that added together give a palindrome (1111).

The spelling of 163948 in words is "one hundred sixty-three thousand, nine hundred forty-eight".