39954 has 8 divisors (see below), whose sum is σ = 79920. Its totient is φ = 13316.

The previous prime is 39953. The next prime is 39971. The reversal of 39954 is 45993.

It is a sphenic number, since it is the product of 3 distinct primes.

39954 is an admirable number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 39954.

It is not an unprimeable number, because it can be changed into a prime (39953) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3324 + ... + 3335.

It is an arithmetic number, because the mean of its divisors is an integer number (9990).

2³⁹⁹⁵⁴ is an apocalyptic number.

39954 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (39960).

39954 is a wasteful number, since it uses less digits than its factorization.

39954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6664.

The product of its digits is 4860, while the sum is 30.

The square root of 39954 is about 199.8849669185. The cubic root of 39954 is about 34.1864040893.

The spelling of 39954 in words is "thirty-nine thousand, nine hundred fifty-four".