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9625 = 53711
BaseRepresentation
bin10010110011001
3111012111
42112121
5302000
6112321
740030
oct22631
914174
109625
117260
1256a1
1344c5
143717
152cba
hex2599

9625 has 16 divisors (see below), whose sum is σ = 14976. Its totient is φ = 6000.

The previous prime is 9623. The next prime is 9629. The reversal of 9625 is 5269.

9625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9625 - 21 = 9623 is a prime.

It is a Duffinian number.

9625 is a lucky number.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 9596 and 9605.

It is not an unprimeable number, because it can be changed into a prime (9623) 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 15 ways as a sum of consecutive naturals, for example, 870 + ... + 880.

It is an arithmetic number, because the mean of its divisors is an integer number (936).

29625 is an apocalyptic number.

It is an amenable number.

9625 is a deficient number, since it is larger than the sum of its proper divisors (5351).

9625 is a wasteful number, since it uses less digits than its factorization.

9625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33 (or 23 counting only the distinct ones).

The product of its digits is 540, while the sum is 22.

The square root of 9625 is about 98.1070843517. The cubic root of 9625 is about 21.2716043256.

Subtracting from 9625 its reverse (5269), we obtain a square (4356 = 662).

It can be divided in two parts, 96 and 25, that added together give a palindrome (121).

The spelling of 9625 in words is "nine thousand, six hundred twenty-five".

Divisors: 1 5 7 11 25 35 55 77 125 175 275 385 875 1375 1925 9625