42948 has 18 divisors (see below), whose sum is σ = 108654. Its totient is φ = 14304.

The previous prime is 42943. The next prime is 42953. The reversal of 42948 is 84924.

42948 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42943) and next prime (42953).

It can be written as a sum of positive squares in only one way, i.e., 36864 + 6084 = 192^2 + 78^2 .

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42948.

It is not an unprimeable number, because it can be changed into a prime (42943) by changing a digit.

42948 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, 561 + ... + 632.

2⁴²⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

42948 is an abundant number, since it is smaller than the sum of its proper divisors (65706).

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

42948 is a wasteful number, since it uses less digits than its factorization.

42948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1198 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 42948 is about 207.2389924700. The cubic root of 42948 is about 35.0198526826.

It can be divided in two parts, 42 and 948, that added together give a triangular number (990 = T₄₄).

The spelling of 42948 in words is "forty-two thousand, nine hundred forty-eight".