39124 has 6 divisors (see below), whose sum is σ = 68474. Its totient is φ = 19560.

The previous prime is 39119. The next prime is 39133. The reversal of 39124 is 42193.

39124 = T₁₆₀ + T₁₆₁ + T₁₆₂.

It can be written as a sum of positive squares in only one way, i.e., 32400 + 6724 = 180^2 + 82^2 .

It is a plaindrome in base 5.

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 4887 + ... + 4894.

2³⁹¹²⁴ is an apocalyptic number.

39124 is the 162-nd centered triangular number.

It is an amenable number.

39124 is a deficient number, since it is larger than the sum of its proper divisors (29350).

39124 is a wasteful number, since it uses less digits than its factorization.

39124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9785 (or 9783 counting only the distinct ones).

The product of its digits is 216, while the sum is 19.

The square root of 39124 is about 197.7978766317. The cubic root of 39124 is about 33.9480174503.

Adding to 39124 its product of digits (216), we get a triangular number (39340 = T₂₈₀).

It can be divided in two parts, 3912 and 4, that added together give a triangular number (3916 = T₈₈).

The spelling of 39124 in words is "thirty-nine thousand, one hundred twenty-four".