88249 has 6 divisors (see below), whose sum is σ = 102714. Its totient is φ = 75600.

The previous prime is 88241. The next prime is 88259. The reversal of 88249 is 94288.

It can be written as a sum of positive squares in only one way, i.e., 60025 + 28224 = 245^2 + 168^2 .

It is not a de Polignac number, because 88249 - 2³ = 88241 is a prime.

It is a Duffinian number.

88249 is a lucky number.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 88249.

It is not an unprimeable number, because it can be changed into a prime (88241) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 852 + ... + 949.

It is an arithmetic number, because the mean of its divisors is an integer number (17119).

2⁸⁸²⁴⁹ is an apocalyptic number.

It is an amenable number.

88249 is a deficient number, since it is larger than the sum of its proper divisors (14465).

88249 is a wasteful number, since it uses less digits than its factorization.

88249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815 (or 1808 counting only the distinct ones).

The product of its digits is 4608, while the sum is 31.

The square root of 88249 is about 297.0673324349. The cubic root of 88249 is about 44.5215146565.

It can be divided in two parts, 88 and 249, that multiplied together give a palindrome (21912).

The spelling of 88249 in words is "eighty-eight thousand, two hundred forty-nine".