Search a number
9873 = 321097

9873 has 6 divisors (see below), whose sum is σ = 14274. Its totient is φ = 6576.

The previous prime is 9871. The next prime is 9883. The reversal of 9873 is 3789.

Subtracting from 9873 its reverse (3789), we obtain a square (6084 = 782).

It can be divided in two parts, 987 and 3, that added together give a triangular number (990 = T44).

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 7569 + 2304 = 87^2 + 48^2 .

It is not a de Polignac number, because 9873 - 21 = 9871 is a prime.

It is a super-2 number, since 2×98732 = 194952258, which contains 22 as substring.

It is a nialpdrome in base 10.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (9871) 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, 540 + ... + 557.

It is an arithmetic number, because the mean of its divisors is an integer number (2379).

29873 is an apocalyptic number.

It is an amenable number.

9873 is a deficient number, since it is larger than the sum of its proper divisors (4401).

9873 is a wasteful number, since it uses less digits than its factorization.

9873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1100 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 9873 is about 99.3629709701. The cubic root of 9873 is about 21.4527536524.

The spelling of 9873 in words is "nine thousand, eight hundred seventy-three".

Divisors: 1 3 9 1097 3291 9873