39933 has 20 divisors (see below), whose sum is σ = 65340. Its totient is φ = 24192.

The previous prime is 39929. The next prime is 39937. The reversal of 39933 is 33993.

It is an interprime number because it is at equal distance from previous prime (39929) and next prime (39937).

It can be written as a sum of positive squares in 2 ways, for example, as 26244 + 13689 = 162^2 + 117^2 .

It is not a de Polignac number, because 39933 - 2² = 39929 is a prime.

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

It is a nude number because it is divisible by every one of its digits.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 39897 and 39906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39937) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1363 + ... + 1391.

It is an arithmetic number, because the mean of its divisors is an integer number (3267).

2³⁹⁹³³ is an apocalyptic number.

It is an amenable number.

39933 is a deficient number, since it is larger than the sum of its proper divisors (25407).

39933 is a wasteful number, since it uses less digits than its factorization.

39933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 49 counting only the distinct ones).

The product of its digits is 2187, while the sum is 27.

The square root of 39933 is about 199.8324298006. The cubic root of 39933 is about 34.1804135310.

The spelling of 39933 in words is "thirty-nine thousand, nine hundred thirty-three".