7971000 has 64 divisors (see below), whose sum is σ = 24878880. Its totient is φ = 2124800.

The previous prime is 7970993. The next prime is 7971017. The reversal of 7971000 is 1797.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1672 + ... + 4328.

Almost surely, 2^7971000 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 7971000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12439440).

7971000 is an abundant number, since it is smaller than the sum of its proper divisors (16907880).

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

7971000 is a wasteful number, since it uses less digits than its factorization.

7971000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2681 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 441, while the sum is 24.

The square root of 7971000 is about 2823.2959462302. The cubic root of 7971000 is about 199.7580407299.

Adding to 7971000 its reverse (1797), we get a palindrome (7972797).

The spelling of 7971000 in words is "seven million, nine hundred seventy-one thousand".