248805 has 32 divisors (see below), whose sum is σ = 470400. Its totient is φ = 124416.

The previous prime is 248797. The next prime is 248813. The reversal of 248805 is 508842.

It is an interprime number because it is at equal distance from previous prime (248797) and next prime (248813).

It is not a de Polignac number, because 248805 - 2³ = 248797 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 248805.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2517 + ... + 2613.

It is an arithmetic number, because the mean of its divisors is an integer number (14700).

2²⁴⁸⁸⁰⁵ is an apocalyptic number.

It is an amenable number.

248805 is a deficient number, since it is larger than the sum of its proper divisors (221595).

248805 is a wasteful number, since it uses less digits than its factorization.

248805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 248805 is about 498.8035685518. The cubic root of 248805 is about 62.8955184296.

Adding to 248805 its sum of digits (27), we get a 5-th power (248832 = 12⁵).

The spelling of 248805 in words is "two hundred forty-eight thousand, eight hundred five".