248331 has 16 divisors (see below), whose sum is σ = 357120. Its totient is φ = 153120.

The previous prime is 248323. The next prime is 248351. The reversal of 248331 is 133842.

248331 = T₅₈ + T₅₉ + ... + T₁₁₈.

It is a happy number.

248331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 248331 - 2³ = 248323 is a prime.

It is a super-2 number, since 2×248331² = 123336571122, which contains 22 as substring.

It is an Ulam number.

248331 is a lucky number.

It is a plaindrome in base 14.

It is a nialpdrome in base 12.

It is a zygodrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 248298 and 248307.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 248331.

It is not an unprimeable number, because it can be changed into a prime (248351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4041 + ... + 4101.

It is an arithmetic number, because the mean of its divisors is an integer number (22320).

2²⁴⁸³³¹ is an apocalyptic number.

248331 is a deficient number, since it is larger than the sum of its proper divisors (108789).

248331 is a wasteful number, since it uses less digits than its factorization.

248331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146.

The product of its digits is 576, while the sum is 21.

The square root of 248331 is about 498.3282051018. The cubic root of 248331 is about 62.8555521538.

The spelling of 248331 in words is "two hundred forty-eight thousand, three hundred thirty-one".