39975 has 24 divisors (see below), whose sum is σ = 72912. Its totient is φ = 19200.

The previous prime is 39971. The next prime is 39979. The reversal of 39975 is 57993.

39975 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (39971) and next prime (39979).

It is not a de Polignac number, because 39975 - 2² = 39971 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 955 + ... + 995.

It is an arithmetic number, because the mean of its divisors is an integer number (3038).

2³⁹⁹⁷⁵ is an apocalyptic number.

39975 is a deficient number, since it is larger than the sum of its proper divisors (32937).

39975 is a wasteful number, since it uses less digits than its factorization.

39975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 62 counting only the distinct ones).

The product of its digits is 8505, while the sum is 33.

The square root of 39975 is about 199.9374902313. The cubic root of 39975 is about 34.1923925489.

It can be divided in two parts, 399 and 75, that added together give a palindrome (474).

The spelling of 39975 in words is "thirty-nine thousand, nine hundred seventy-five".