39285 has 20 divisors (see below), whose sum is σ = 71148. Its totient is φ = 20736.

The previous prime is 39251. The next prime is 39293. The reversal of 39285 is 58293.

It can be written as a sum of positive squares in 2 ways, for example, as 15876 + 23409 = 126^2 + 153^2 .

It is not a de Polignac number, because 39285 - 2⁷ = 39157 is a prime.

It is a super-2 number, since 2×39285² = 3086622450, which contains 22 as substring.

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

It is a Curzon number.

39285 is a lucky number.

It is a nialpdrome in base 15 and base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 357 + ... + 453.

2³⁹²⁸⁵ is an apocalyptic number.

39285 is the 162-nd pentagonal number.

It is an amenable number.

39285 is a deficient number, since it is larger than the sum of its proper divisors (31863).

39285 is an equidigital number, since it uses as much as digits as its factorization.

39285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 105 counting only the distinct ones).

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

The square root of 39285 is about 198.2044399099. The cubic root of 39285 is about 33.9945204549.

It can be divided in two parts, 39 and 285, that added together give a square (324 = 18²).

The spelling of 39285 in words is "thirty-nine thousand, two hundred eighty-five".