3966807 has 16 divisors (see below), whose sum is σ = 5852000. Its totient is φ = 2374272.

The previous prime is 3966803. The next prime is 3966817. The reversal of 3966807 is 7086693.

It is not a de Polignac number, because 3966807 - 2² = 3966803 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

3966807 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3966803) 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 15 ways as a sum of consecutive naturals, for example, 69 + ... + 2817.

It is an arithmetic number, because the mean of its divisors is an integer number (365750).

Almost surely, 2^3966807 is an apocalyptic number.

3966807 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

3966807 is a deficient number, since it is larger than the sum of its proper divisors (1885193).

3966807 is a wasteful number, since it uses less digits than its factorization.

3966807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802.

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 3966807 is about 1991.6844629609. The cubic root of 3966807 is about 158.2997966521.

The spelling of 3966807 in words is "three million, nine hundred sixty-six thousand, eight hundred seven".