39957 has 8 divisors (see below), whose sum is σ = 56160. Its totient is φ = 25200.

The previous prime is 39953. The next prime is 39971. The reversal of 39957 is 75993.

39957 = 3⁴ + 4⁴ + ... + 11⁴.

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

It is not a de Polignac number, because 39957 - 2² = 39953 is a prime.

39957 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 39957.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 294 + ... + 407.

It is an arithmetic number, because the mean of its divisors is an integer number (7020).

2³⁹⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

39957 is a deficient number, since it is larger than the sum of its proper divisors (16203).

39957 is a wasteful number, since it uses less digits than its factorization.

39957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723.

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

The square root of 39957 is about 199.8924710938. The cubic root of 39957 is about 34.1872597120.

The spelling of 39957 in words is "thirty-nine thousand, nine hundred fifty-seven".