248965 has 16 divisors (see below), whose sum is σ = 330480. Its totient is φ = 179200.

The previous prime is 248909. The next prime is 248971. The reversal of 248965 is 569842.

248965 = T₃₀ + T₃₁ + ... + T₁₁₄.

It is a happy number.

248965 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 34596 + 214369 = 186^2 + 463^2 .

It is a de Polignac number, because none of the positive numbers 2^k-248965 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 248965.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2415 + ... + 2515.

It is an arithmetic number, because the mean of its divisors is an integer number (20655).

2²⁴⁸⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

248965 is a deficient number, since it is larger than the sum of its proper divisors (81515).

248965 is a wasteful number, since it uses less digits than its factorization.

248965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152.

The product of its digits is 17280, while the sum is 34.

The square root of 248965 is about 498.9639265518. The cubic root of 248965 is about 62.9089976959.

The spelling of 248965 in words is "two hundred forty-eight thousand, nine hundred sixty-five".