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65025 = 3252172
BaseRepresentation
bin1111111000000001
310022012100
433320001
54040100
61221013
7360402
oct177001
9108170
1065025
1144944
1231769
132379c
14199a9
1514400
hexfe01

65025 has 27 divisors (see below), whose sum is σ = 123721. Its totient is φ = 32640.

The previous prime is 65011. The next prime is 65027. The reversal of 65025 is 52056.

65025 = T254 + T255.

The square root of 65025 is 255.

It is a perfect power (a square), and thus also a powerful number.

65025 is nontrivially palindromic in base 11.

65025 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 4 ways, for example, as 1521 + 63504 = 39^2 + 252^2 .

It is not a de Polignac number, because 65025 - 29 = 64513 is a prime.

It is a Duffinian number.

It is a Curzon number.

65025 is a lucky number.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 64989 and 65007.

It is not an unprimeable number, because it can be changed into a prime (65027) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3817 + ... + 3833.

It is a Proth number, since it is equal to 127 ⋅ 29 + 1 and 127 < 29.

265025 is an apocalyptic number.

65025 is the 255-th square number.

65025 is the 128-th centered octagonal number.

It is an amenable number.

65025 is a deficient number, since it is larger than the sum of its proper divisors (58696).

65025 is a wasteful number, since it uses less digits than its factorization.

65025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The cubic root of 65025 is about 40.2124117018.

The spelling of 65025 in words is "sixty-five thousand, twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 153 225 255 289 425 765 867 1275 1445 2601 3825 4335 7225 13005 21675 65025