1971000 has 128 divisors (see below), whose sum is σ = 6926400. Its totient is φ = 518400.

The previous prime is 1970999. The next prime is 1971007. The reversal of 1971000 is 1791.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1971007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26964 + ... + 27036.

2^1971000 is an apocalyptic number.

1971000 is a gapful number since it is divisible by the number (10) 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 1971000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3463200).

1971000 is an abundant number, since it is smaller than the sum of its proper divisors (4955400).

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

1971000 is a wasteful number, since it uses less digits than its factorization.

1971000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

The square root of 1971000 is about 1403.9230748157. The cubic root of 1971000 is about 125.3801758914.

Adding to 1971000 its reverse (1791), we get a palindrome (1972791).

The spelling of 1971000 in words is "one million, nine hundred seventy-one thousand".