163824007 has 4 divisors (see below), whose sum is σ = 166915080. Its totient is φ = 160732936.

The previous prime is 163823993. The next prime is 163824013. The reversal of 163824007 is 700428361.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 700428361 = 23 ⋅30453407.

It is a cyclic number.

It is not a de Polignac number, because 163824007 - 2²⁷ = 29606279 is a prime.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 163824007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163824077) 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 3 ways as a sum of consecutive naturals, for example, 1545457 + ... + 1545562.

It is an arithmetic number, because the mean of its divisors is an integer number (41728770).

Almost surely, 2^163824007 is an apocalyptic number.

163824007 is a deficient number, since it is larger than the sum of its proper divisors (3091073).

163824007 is an equidigital number, since it uses as much as digits as its factorization.

163824007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3091072.

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 163824007 is about 12799.3752581913. The cubic root of 163824007 is about 547.1744979006.

The spelling of 163824007 in words is "one hundred sixty-three million, eight hundred twenty-four thousand, seven".