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65625 = 3557
BaseRepresentation
bin10000000001011001
310100000120
4100001121
54100000
61223453
7362220
oct200131
9110016
1065625
114533a
1231b89
1323b41
1419cb7
15146a0
hex10059

65625 has 24 divisors (see below), whose sum is σ = 124992. Its totient is φ = 30000.

The previous prime is 65617. The next prime is 65629. The reversal of 65625 is 52656.

It is not a de Polignac number, because 65625 - 23 = 65617 is a prime.

It is an Ulam number.

Its product of digits (1800) is a multiple of the sum of its prime divisors (15).

It is a Curzon number.

It is a nialpdrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 65595 and 65604.

It is not an unprimeable number, because it can be changed into a prime (65629) 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 23 ways as a sum of consecutive naturals, for example, 9372 + ... + 9378.

It is an arithmetic number, because the mean of its divisors is an integer number (5208).

265625 is an apocalyptic number.

It is an amenable number.

65625 is a deficient number, since it is larger than the sum of its proper divisors (59367).

65625 is an frugal number, since it uses more digits than its factorization.

65625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35 (or 15 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 65625 is about 256.1737691490. The cubic root of 65625 is about 40.3357161506.

The spelling of 65625 in words is "sixty-five thousand, six hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 125 175 375 525 625 875 1875 2625 3125 4375 9375 13125 21875 65625