Search a number
-
+
13337825 = 522918397
BaseRepresentation
bin110010111000…
…010011100001
3221002122001112
4302320103201
511403302300
61153513105
7221240534
oct62702341
927078045
1013337825
11758a9a6
124572795
1329bcc07
141ab2a1b
151286e35
hexcb84e1

13337825 has 12 divisors (see below), whose sum is σ = 17110140. Its totient is φ = 10301760.

The previous prime is 13337803. The next prime is 13337837. The reversal of 13337825 is 52873331.

It can be written as a sum of positive squares in 6 ways, for example, as 153664 + 13184161 = 392^2 + 3631^2 .

It is not a de Polignac number, because 13337825 - 218 = 13075681 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13337791 and 13337800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8474 + ... + 9923.

It is an arithmetic number, because the mean of its divisors is an integer number (1425845).

Almost surely, 213337825 is an apocalyptic number.

It is an amenable number.

13337825 is a deficient number, since it is larger than the sum of its proper divisors (3772315).

13337825 is a wasteful number, since it uses less digits than its factorization.

13337825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18436 (or 18431 counting only the distinct ones).

The product of its digits is 15120, while the sum is 32.

The square root of 13337825 is about 3652.0987116999. The cubic root of 13337825 is about 237.1528446084.

The spelling of 13337825 in words is "thirteen million, three hundred thirty-seven thousand, eight hundred twenty-five".

Divisors: 1 5 25 29 145 725 18397 91985 459925 533513 2667565 13337825