7864101 has 16 divisors (see below), whose sum is σ = 13315200. Its totient is φ = 4493664.

The previous prime is 7864093. The next prime is 7864117. The reversal of 7864101 is 1014687.

It is a happy number.

It is not a de Polignac number, because 7864101 - 2³ = 7864093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

7864101 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7864121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20616 + ... + 20993.

It is an arithmetic number, because the mean of its divisors is an integer number (832200).

Almost surely, 2^7864101 is an apocalyptic number.

It is an amenable number.

7864101 is a deficient number, since it is larger than the sum of its proper divisors (5451099).

7864101 is a wasteful number, since it uses less digits than its factorization.

7864101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41625 (or 41619 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 7864101 is about 2804.3004475270. The cubic root of 7864101 is about 198.8610344331.

Adding to 7864101 its reverse (1014687), we get a palindrome (8878788).

The spelling of 7864101 in words is "seven million, eight hundred sixty-four thousand, one hundred one".