39966993 has 32 divisors (see below), whose sum is σ = 66357120. Its totient is φ = 23561280.

The previous prime is 39966977. The next prime is 39967003.

39966993 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 39966993 - 2⁴ = 39966977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (39966943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9171 + ... + 12807.

It is an arithmetic number, because the mean of its divisors is an integer number (2073660).

Almost surely, 2^39966993 is an apocalyptic number.

39966993 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

39966993 is a deficient number, since it is larger than the sum of its proper divisors (26390127).

39966993 is a wasteful number, since it uses less digits than its factorization.

39966993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3694 (or 3688 counting only the distinct ones).

The product of its digits is 2125764, while the sum is 54.

The square root of 39966993 is about 6321.9453493367. The cubic root of 39966993 is about 341.9010948223.

The spelling of 39966993 in words is "thirty-nine million, nine hundred sixty-six thousand, nine hundred ninety-three".