4025 has 12 divisors (see below), whose sum is σ = 5952. Its totient is φ = 2640.

The previous prime is 4021. The next prime is 4027. The reversal of 4025 is 5204.

4025 = T₆ + T₇ + ... + T₂₈.

It is a sliding number, since 4025 = 25 + 4000 and 1/25 + 1/4000 = 0.04025.

It is not a de Polignac number, because 4025 - 2² = 4021 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 3997 and 4015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 164 + ... + 186.

It is an arithmetic number, because the mean of its divisors is an integer number (496).

2⁴⁰²⁵ is an apocalyptic number.

It is an amenable number.

4025 is a deficient number, since it is larger than the sum of its proper divisors (1927).

4025 is a wasteful number, since it uses less digits than its factorization.

4025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 4025 is about 63.4428877022. The cubic root of 4025 is about 15.9070127156.

Adding to 4025 its reverse (5204), we get a palindrome (9229).

It can be divided in two parts, 40 and 25, that multiplied together give a cube (1000 = 10³).

The spelling of 4025 in words is "four thousand, twenty-five".