11025 has 27 divisors (see below), whose sum is σ = 22971. Its totient is φ = 5040.

The previous prime is 11003. The next prime is 11027. The reversal of 11025 is 52011.

11025 = T_{14} + T_{15} + ... +
T_{40}.

11025 = 1^{3} + 2^{3} + ... + 14^{3}.

It is a happy number.

The square root of 11025 is 105.

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

It can be written as a sum of positive squares in only one way, i.e., 3969 + 7056 = 63^2 + 84^2 .

It is not a de Polignac number, because 11025 - 2^{5} = 10993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a nialpdrome in base 7.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 10998 and 11016.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 11025.

It is not an unprimeable number, because it can be changed into a prime (11027) 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, 1572 + ... + 1578.

11025 is a Friedman number, since it can be written as 105^(2*1), using all its digits and the basic arithmetic operations.

2^{11025} is an apocalyptic number.

11025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11025 is the 105-th square number.

11025 is the 53-rd centered octagonal number.

It is an amenable number.

11025 is an abundant number, since it is smaller than the sum of its proper divisors (11946).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11025 is a wasteful number, since it uses less digits than its factorization.

11025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30 (or 15 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The cubic root of 11025 is about 22.2566364919.

Adding to 11025 its reverse (52011), we get a palindrome (63036).

The spelling of 11025 in words is "eleven thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 735 1225 1575 2205 3675 11025

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