39825 has 24 divisors (see below), whose sum is σ = 74400. Its totient is φ = 20880.

The previous prime is 39821. The next prime is 39827. The reversal of 39825 is 52893.

39825 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

39825 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 39825 - 2² = 39821 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 3⁵ + 9⁴ + 8⁵ + 2⁷ + 5³ .

39825 is strictly pandigital in base 6.

39825 is a lucky number.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (39821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 646 + ... + 704.

It is an arithmetic number, because the mean of its divisors is an integer number (3100).

2³⁹⁸²⁵ is an apocalyptic number.

It is an amenable number.

39825 is a deficient number, since it is larger than the sum of its proper divisors (34575).

39825 is a wasteful number, since it uses less digits than its factorization.

39825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 67 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 39825 is about 199.5620204348. The cubic root of 39825 is about 34.1495717244.

The spelling of 39825 in words is "thirty-nine thousand, eight hundred twenty-five".