918729 has 16 divisors (see below), whose sum is σ = 1555840. Its totient is φ = 524880.

The previous prime is 918683. The next prime is 918733. The reversal of 918729 is 927819.

It is a happy number.

It is not a de Polignac number, because 918729 - 2¹⁵ = 885961 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 918693 and 918702.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 918729.

It is not an unprimeable number, because it can be changed into a prime (918779) 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, 2242 + ... + 2619.

It is an arithmetic number, because the mean of its divisors is an integer number (97240).

2⁹¹⁸⁷²⁹ is an apocalyptic number.

It is an amenable number.

918729 is a deficient number, since it is larger than the sum of its proper divisors (637111).

918729 is a wasteful number, since it uses less digits than its factorization.

918729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4877 (or 4871 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 918729 is about 958.5035211203. The cubic root of 918729 is about 97.2140735604.

It can be divided in two parts, 9187 and 29, that added together give a square (9216 = 96²).

The spelling of 918729 in words is "nine hundred eighteen thousand, seven hundred twenty-nine".