39249 has 18 divisors (see below), whose sum is σ = 66690. Its totient is φ = 22176.

The previous prime is 39241. The next prime is 39251. The reversal of 39249 is 94293.

It can be written as a sum of positive squares in only one way, i.e., 28224 + 11025 = 168^2 + 105^2 .

It is not a de Polignac number, because 39249 - 2³ = 39241 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

39249 is a lucky number.

It is a plaindrome in base 5.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (39241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 397 + ... + 485.

It is an arithmetic number, because the mean of its divisors is an integer number (3705).

2³⁹²⁴⁹ is an apocalyptic number.

It is an amenable number.

39249 is a deficient number, since it is larger than the sum of its proper divisors (27441).

39249 is a wasteful number, since it uses less digits than its factorization.

39249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 99 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 39249 is about 198.1136037732. The cubic root of 39249 is about 33.9841333118.

It can be divided in two parts, 392 and 49, that added together give a square (441 = 21²).

The spelling of 39249 in words is "thirty-nine thousand, two hundred forty-nine".