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13825 = 52779
BaseRepresentation
bin11011000000001
3200222001
43120001
5420300
6144001
755210
oct33001
920861
1013825
11a429
128001
1363a6
145077
15416a
hex3601

13825 has 12 divisors (see below), whose sum is σ = 19840. Its totient is φ = 9360.

The previous prime is 13807. The next prime is 13829. The reversal of 13825 is 52831.

It is a happy number.

It is a Cunningham number, because it is equal to 243+1.

It is not a de Polignac number, because 13825 - 27 = 13697 is a prime.

It is a super-2 number, since 2×138252 = 382261250, which contains 22 as substring.

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (13829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136 + ... + 214.

13825 is a Friedman number, since it can be written as (8*(5-2))^3+1, using all its digits and the basic arithmetic operations.

It is a Proth number, since it is equal to 27 ⋅ 29 + 1 and 27 < 29.

213825 is an apocalyptic number.

It is an amenable number.

13825 is a deficient number, since it is larger than the sum of its proper divisors (6015).

13825 is an equidigital number, since it uses as much as digits as its factorization.

13825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 91 counting only the distinct ones).

The product of its digits is 240, while the sum is 19.

The square root of 13825 is about 117.5797601630. The cubic root of 13825 is about 24.0005786898. Note that the first 3 decimals are identical.

It can be divided in two parts, 13 and 825, that added together give a palindrome (838).

The spelling of 13825 in words is "thirteen thousand, eight hundred twenty-five".

Divisors: 1 5 7 25 35 79 175 395 553 1975 2765 13825