9025 has 9 divisors (see below), whose sum is σ = 11811. Its totient is φ = 6840.

The previous prime is 9013. The next prime is 9029. The reversal of 9025 is 5209.

9025 = T_{94} + T_{95}.

The square root of 9025 is 95.

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., 3249 + 5776 = 57^2 + 76^2 .

It is not a de Polignac number, because 9025 - 2^{9} = 8513 is a prime.

It is a Duffinian number.

It is a plaindrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (9029) 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 8 ways as a sum of consecutive naturals, for example, 466 + ... + 484.

9025 is a Friedman number, since it can be written as 95^2+0, using all its digits and the basic arithmetic operations.

2^{9025} is an apocalyptic number.

9025 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

9025 is the 95-th square number.

9025 is the 48-th centered octagonal number.

It is an amenable number.

9025 is a deficient number, since it is larger than the sum of its proper divisors (2786).

9025 is a wasteful number, since it uses less digits than its factorization.

9025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The cubic root of 9025 is about 20.8200804600.

Subtracting from 9025 its sum of digits (16), we obtain a palindrome (9009).

Multiplying 9025 by its sum of digits (16), we get a square (144400 = 380^{2}).

The spelling of 9025 in words is "nine thousand, twenty-five".

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