40948 has 12 divisors (see below), whose sum is σ = 74340. Its totient is φ = 19712.

The previous prime is 40939. The next prime is 40949. The reversal of 40948 is 84904.

It can be written as a sum of positive squares in 2 ways, for example, as 19044 + 21904 = 138^2 + 148^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40949) by changing a digit.

40948 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 61 + ... + 292.

It is an arithmetic number, because the mean of its divisors is an integer number (6195).

2⁴⁰⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

40948 is a deficient number, since it is larger than the sum of its proper divisors (33392).

40948 is a wasteful number, since it uses less digits than its factorization.

40948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 40948 is about 202.3561217260. The cubic root of 40948 is about 34.4675884075.

Subtracting 40948 from its reverse (84904), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 40948 in words is "forty thousand, nine hundred forty-eight".