39870 has 24 divisors (see below), whose sum is σ = 103896. Its totient is φ = 10608.

The previous prime is 39869. The next prime is 39877. The reversal of 39870 is 7893.

It is a happy number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39877) 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, 132 + ... + 311.

It is an arithmetic number, because the mean of its divisors is an integer number (4329).

2³⁹⁸⁷⁰ is an apocalyptic number.

39870 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

39870 is an abundant number, since it is smaller than the sum of its proper divisors (64026).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51948).

39870 is a wasteful number, since it uses less digits than its factorization.

39870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 39870 is about 199.6747355075. The cubic root of 39870 is about 34.1624292451.

It can be divided in two parts, 39 and 870, that multiplied together give a triangular number (33930 = T₂₆₀).

The spelling of 39870 in words is "thirty-nine thousand, eight hundred seventy".