38248 has 16 divisors (see below), whose sum is σ = 82080. Its totient is φ = 16368.

The previous prime is 38239. The next prime is 38261. The reversal of 38248 is 84283.

It is a nialpdrome in base 14.

It is an unprimeable number.

38248 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 286 + ... + 397.

It is an arithmetic number, because the mean of its divisors is an integer number (5130).

2³⁸²⁴⁸ is an apocalyptic number.

It is an amenable number.

38248 is an abundant number, since it is smaller than the sum of its proper divisors (43832).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41040).

38248 is a wasteful number, since it uses less digits than its factorization.

38248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 692 counting only the distinct ones).

The product of its digits is 1536, while the sum is 25.

The square root of 38248 is about 195.5709589893. The cubic root of 38248 is about 33.6927332464.

It can be divided in two parts, 382 and 48, that multiplied together give a triangular number (18336 = T₁₉₁).

The spelling of 38248 in words is "thirty-eight thousand, two hundred forty-eight".