7831164 has 48 divisors (see below), whose sum is σ = 20434176. Its totient is φ = 2313600.

The previous prime is 7831163. The next prime is 7831177. The reversal of 7831164 is 4611387.

It is a happy number.

It is a super-2 number, since 2×7831164² = 122654259189792, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7831163) 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, 4689 + ... + 6135.

It is an arithmetic number, because the mean of its divisors is an integer number (425712).

Almost surely, 2^7831164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7831164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10217088).

7831164 is an abundant number, since it is smaller than the sum of its proper divisors (12603012).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7831164 is a wasteful number, since it uses less digits than its factorization.

7831164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1504 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 7831164 is about 2798.4216980291. The cubic root of 7831164 is about 198.5830178502.

The spelling of 7831164 in words is "seven million, eight hundred thirty-one thousand, one hundred sixty-four".