40825 has 12 divisors (see below), whose sum is σ = 53568. Its totient is φ = 30800.

The previous prime is 40823. The next prime is 40829. The reversal of 40825 is 52804.

It is a happy number.

It is not a de Polignac number, because 40825 - 2¹ = 40823 is a prime.

It is a Duffinian number.

40825 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 540 + ... + 610.

It is an arithmetic number, because the mean of its divisors is an integer number (4464).

2⁴⁰⁸²⁵ is an apocalyptic number.

It is an amenable number.

40825 is a deficient number, since it is larger than the sum of its proper divisors (12743).

40825 is a wasteful number, since it uses less digits than its factorization.

40825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 40825 is about 202.0519735118. The cubic root of 40825 is about 34.4330424356.

The spelling of 40825 in words is "forty thousand, eight hundred twenty-five".