787249 has 4 divisors (see below), whose sum is σ = 808564. Its totient is φ = 765936.

The previous prime is 787243. The next prime is 787261. The reversal of 787249 is 942787.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 351649 + 435600 = 593^2 + 660^2 .

It is a cyclic number.

It is not a de Polignac number, because 787249 - 2⁵ = 787217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37), and also a Moran number because the ratio is a prime number: 21277 = 787249 / (7 + 8 + 7 + 2 + 4 + 9).

It is a Duffinian number.

787249 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (787243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10602 + ... + 10675.

It is an arithmetic number, because the mean of its divisors is an integer number (202141).

2⁷⁸⁷²⁴⁹ is an apocalyptic number.

It is an amenable number.

787249 is a deficient number, since it is larger than the sum of its proper divisors (21315).

787249 is a wasteful number, since it uses less digits than its factorization.

787249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21314.

The product of its digits is 28224, while the sum is 37.

The square root of 787249 is about 887.2705337156. The cubic root of 787249 is about 92.3359253560.

It can be divided in two parts, 7872 and 49, that added together give a square (7921 = 89²).

The spelling of 787249 in words is "seven hundred eighty-seven thousand, two hundred forty-nine".