40625 has 12 divisors (see below), whose sum is σ = 54684. Its totient is φ = 30000.

The previous prime is 40609. The next prime is 40627. The reversal of 40625 is 52604.

40625 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 6 ways, for example, as 38416 + 2209 = 196^2 + 47^2 .

It is a trimorphic number since its cube, 67047119140625, ends in 40625.

It is not a de Polignac number, because 40625 - 2⁴ = 40609 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40627) 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, 3119 + ... + 3131.

It is an arithmetic number, because the mean of its divisors is an integer number (4557).

2⁴⁰⁶²⁵ is an apocalyptic number.

It is an amenable number.

40625 is a deficient number, since it is larger than the sum of its proper divisors (14059).

40625 is an frugal number, since it uses more digits than its factorization.

40625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 40625 is about 201.5564437075. The cubic root of 40625 is about 34.3767216769.

The spelling of 40625 in words is "forty thousand, six hundred twenty-five".