39935 has 12 divisors (see below), whose sum is σ = 56088. Its totient is φ = 27216.

The previous prime is 39929. The next prime is 39937. The reversal of 39935 is 53993.

It is not a de Polignac number, because 39935 - 2⁸ = 39679 is a prime.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a plaindrome in base 8 and base 16.

It is a junction number, because it is equal to n+sod(n) for n = 39898 and 39907.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 164 + ... + 326.

It is an arithmetic number, because the mean of its divisors is an integer number (4674).

2³⁹⁹³⁵ is an apocalyptic number.

39935 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

39935 is a deficient number, since it is larger than the sum of its proper divisors (16153).

39935 is a wasteful number, since it uses less digits than its factorization.

39935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 175 counting only the distinct ones).

The product of its digits is 3645, while the sum is 29.

The square root of 39935 is about 199.8374339307. The cubic root of 39935 is about 34.1809841508.

It can be divided in two parts, 399 and 35, that added together give a palindrome (434).

The spelling of 39935 in words is "thirty-nine thousand, nine hundred thirty-five".