248591 has 8 divisors (see below), whose sum is σ = 300960. Its totient is φ = 200448.

The previous prime is 248587. The next prime is 248593. The reversal of 248591 is 195842.

248591 = T₂₆₃ + T₂₆₄ + ... + T₂₆₉.

248591 is nontrivially palindromic in base 6.

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

It is a cyclic number.

It is not a de Polignac number, because 248591 - 2² = 248587 is a prime.

It is a d-powerful number, because it can be written as 2¹⁷ + 4³ + 5⁷ + 8⁵ + 9⁴ + 1 .

It is a Duffinian number.

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 248591.

It is not an unprimeable number, because it can be changed into a prime (248593) 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, 926 + ... + 1163.

It is an arithmetic number, because the mean of its divisors is an integer number (37620).

2²⁴⁸⁵⁹¹ is an apocalyptic number.

248591 is a deficient number, since it is larger than the sum of its proper divisors (52369).

248591 is a wasteful number, since it uses less digits than its factorization.

248591 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2113.

The product of its digits is 2880, while the sum is 29.

The square root of 248591 is about 498.5890091047. The cubic root of 248591 is about 62.8774808745.

The spelling of 248591 in words is "two hundred forty-eight thousand, five hundred ninety-one".