39955993 has 32 divisors (see below), whose sum is σ = 54190080. Its totient is φ = 28512000.

The previous prime is 39955973. The next prime is 39955999.

It is a happy number.

39955993 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 39955993 - 2⁵ = 39955961 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 39955993.

It is not an unprimeable number, because it can be changed into a prime (39955999) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44913 + ... + 45793.

It is an arithmetic number, because the mean of its divisors is an integer number (1693440).

Almost surely, 2^39955993 is an apocalyptic number.

It is an amenable number.

39955993 is a deficient number, since it is larger than the sum of its proper divisors (14234087).

39955993 is a wasteful number, since it uses less digits than its factorization.

39955993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949.

The product of its digits is 1476225, while the sum is 52.

The square root of 39955993 is about 6321.0753040919. The cubic root of 39955993 is about 341.8697251274.

The spelling of 39955993 in words is "thirty-nine million, nine hundred fifty-five thousand, nine hundred ninety-three".