248561 has 8 divisors (see below), whose sum is σ = 264384. Its totient is φ = 233200.

The previous prime is 248543. The next prime is 248569. The reversal of 248561 is 165842.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-248561 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 248561.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248569) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2270 + ... + 2376.

It is an arithmetic number, because the mean of its divisors is an integer number (33048).

2²⁴⁸⁵⁶¹ is an apocalyptic number.

It is an amenable number.

248561 is a deficient number, since it is larger than the sum of its proper divisors (15823).

248561 is a wasteful number, since it uses less digits than its factorization.

248561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231.

The product of its digits is 1920, while the sum is 26.

The square root of 248561 is about 498.5589232979. The cubic root of 248561 is about 62.8749514180.

It can be divided in two parts, 248 and 561, that multiplied together give a triangular number (139128 = T₅₂₇).

The spelling of 248561 in words is "two hundred forty-eight thousand, five hundred sixty-one".