248264 has 8 divisors (see below), whose sum is σ = 465510. Its totient is φ = 124128.

The previous prime is 248257. The next prime is 248267. The reversal of 248264 is 462842.

248264 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 only one way, i.e., 195364 + 52900 = 442^2 + 230^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (248267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15509 + ... + 15524.

2²⁴⁸²⁶⁴ is an apocalyptic number.

It is an amenable number.

248264 is a deficient number, since it is larger than the sum of its proper divisors (217246).

248264 is a wasteful number, since it uses less digits than its factorization.

248264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31039 (or 31035 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

The square root of 248264 is about 498.2609757948. The cubic root of 248264 is about 62.8498988110.

It can be divided in two parts, 248 and 264, that added together give a 9-th power (512 = 2⁹).

The spelling of 248264 in words is "two hundred forty-eight thousand, two hundred sixty-four".