2025 has 15 divisors (see below), whose sum is σ = 3751. Its totient is φ = 1080.

The previous prime is 2017. The next prime is 2027. The reversal of 2025 is 5202.

2025 = T_{44} + T_{45}.

2025 = 1^{3} + 2^{3} + ... + 9^{3}.

The square root of 2025 is 45.

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., 729 + 1296 = 27^2 + 36^2 .

It is a tau number, because it is divible by the number of its divisors (15).

It is not a de Polignac number, because 2025 - 2^{3} = 2017 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 3, base 5 and base 15.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 1998 and 2016.

It is not an unprimeable number, because it can be changed into a prime (2027) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 403 + ... + 407.

2^{2025} is an apocalyptic number.

2025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2025 is the 45-th square number.

2025 is the 23-rd centered octagonal number.

It is an amenable number.

2025 is a deficient number, since it is larger than the sum of its proper divisors (1726).

2025 is an equidigital number, since it uses as much as digits as its factorization.

2025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22 (or 8 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The cubic root of 2025 is about 12.6514899795.

Adding to 2025 its reverse (5202), we get a palindrome (7227).

It can be divided in two parts, 20 and 25, that added together give a triangular number (45 = T_{9}).

The spelling of 2025 in words is "two thousand, twenty-five".

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