4971000 has 64 divisors (see below), whose sum is σ = 15518880. Its totient is φ = 1324800.

The previous prime is 4970993. The next prime is 4971007. The reversal of 4971000 is 1794.

It is an interprime number because it is at equal distance from previous prime (4970993) and next prime (4971007).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4971007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2172 + ... + 3828.

Almost surely, 2^4971000 is an apocalyptic number.

4971000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4971000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7759440).

4971000 is an abundant number, since it is smaller than the sum of its proper divisors (10547880).

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

4971000 is a wasteful number, since it uses less digits than its factorization.

4971000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 4971000 is about 2229.5739503322. The cubic root of 4971000 is about 170.6663580995. Note that the first 3 decimals are identical.

Adding to 4971000 its reverse (1794), we get a palindrome (4972794).

The spelling of 4971000 in words is "four million, nine hundred seventy-one thousand".