840249 has 12 divisors (see below), whose sum is σ = 1228500. Its totient is φ = 553344.

The previous prime is 840241. The next prime is 840253. The reversal of 840249 is 942048.

840249 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 2 ways, for example, as 480249 + 360000 = 693^2 + 600^2 .

It is not a de Polignac number, because 840249 - 2³ = 840241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (840241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 277 + ... + 1325.

It is an arithmetic number, because the mean of its divisors is an integer number (102375).

2⁸⁴⁰²⁴⁹ is an apocalyptic number.

840249 is a gapful number since it is divisible by the number (89) formed by its first and last digit.

It is an amenable number.

840249 is a deficient number, since it is larger than the sum of its proper divisors (388251).

840249 is a wasteful number, since it uses less digits than its factorization.

840249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 840249 is about 916.6509695626. The cubic root of 840249 is about 94.3632017472.

It can be divided in two parts, 840 and 249, that added together give a square (1089 = 33²).

The spelling of 840249 in words is "eight hundred forty thousand, two hundred forty-nine".