1971288 has 96 divisors (see below), whose sum is σ = 6177600. Its totient is φ = 561600.

The previous prime is 1971253. The next prime is 1971289. The reversal of 1971288 is 8821791.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1971289) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14983 + ... + 15113.

It is an arithmetic number, because the mean of its divisors is an integer number (64350).

2^1971288 is an apocalyptic number.

1971288 is a gapful number since it is divisible by the number (18) 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 1971288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3088800).

1971288 is an abundant number, since it is smaller than the sum of its proper divisors (4206312).

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

1971288 is a wasteful number, since it uses less digits than its factorization.

1971288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 166 counting only the distinct ones).

The product of its digits is 8064, while the sum is 36.

The square root of 1971288 is about 1404.0256407915. The cubic root of 1971288 is about 125.3862823910.

It can be divided in two parts, 197128 and 8, that added together give a square (197136 = 444²).

The spelling of 1971288 in words is "one million, nine hundred seventy-one thousand, two hundred eighty-eight".