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9925 = 52397
BaseRepresentation
bin10011011000101
3111121121
42123011
5304200
6113541
740636
oct23305
914547
109925
117503
1258b1
134696
14388d
152e1a
hex26c5

9925 has 6 divisors (see below), whose sum is σ = 12338. Its totient is φ = 7920.

The previous prime is 9923. The next prime is 9929. The reversal of 9925 is 5299.

9925 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 3 ways, for example, as 1089 + 8836 = 33^2 + 94^2 .

It is not a de Polignac number, because 9925 - 21 = 9923 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25), and also a Moran number because the ratio is a prime number: 397 = 9925 / (9 + 9 + 2 + 5).

It is a Duffinian number.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 9925.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9923) 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 5 ways as a sum of consecutive naturals, for example, 174 + ... + 223.

29925 is an apocalyptic number.

It is an amenable number.

9925 is a deficient number, since it is larger than the sum of its proper divisors (2413).

9925 is a wasteful number, since it uses less digits than its factorization.

9925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 402 counting only the distinct ones).

The product of its digits is 810, while the sum is 25.

The square root of 9925 is about 99.6242942259. The cubic root of 9925 is about 21.4903508170.

The spelling of 9925 in words is "nine thousand, nine hundred twenty-five".

Divisors: 1 5 25 397 1985 9925