248532 has 24 divisors (see below), whose sum is σ = 588000. Its totient is φ = 81696.

The previous prime is 248509. The next prime is 248533. The reversal of 248532 is 235842.

It is a d-powerful number, because it can be written as 2 + 4 + 5⁷ + 8⁵ + 3⁸ + 2¹⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248533) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1594 + ... + 1742.

It is an arithmetic number, because the mean of its divisors is an integer number (24500).

2²⁴⁸⁵³² is an apocalyptic number.

It is an amenable number.

248532 is an abundant number, since it is smaller than the sum of its proper divisors (339468).

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

248532 is a wasteful number, since it uses less digits than its factorization.

248532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 293 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 248532 is about 498.5298386255. The cubic root of 248532 is about 62.8725060833.

It can be divided in two parts, 248 and 532, that added together give a triangular number (780 = T₃₉).

The spelling of 248532 in words is "two hundred forty-eight thousand, five hundred thirty-two".