1971172 has 36 divisors (see below), whose sum is σ = 4093740. Its totient is φ = 827904.

The previous prime is 1971161. The next prime is 1971181. The reversal of 1971172 is 2711791.

It can be written as a sum of positive squares in 2 ways, for example, as 164836 + 1806336 = 406^2 + 1344^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 1971172.

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 11 ways as a sum of consecutive naturals, for example, 17388 + ... + 17500.

It is an arithmetic number, because the mean of its divisors is an integer number (113715).

2^1971172 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 1971172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046870).

1971172 is an abundant number, since it is smaller than the sum of its proper divisors (2122568).

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

1971172 is a wasteful number, since it uses less digits than its factorization.

1971172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 211 counting only the distinct ones).

The product of its digits is 882, while the sum is 28.

The square root of 1971172 is about 1403.9843303969. The cubic root of 1971172 is about 125.3838229002.

It can be divided in two parts, 197 and 1172, that added together give a square (1369 = 37²).

The spelling of 1971172 in words is "one million, nine hundred seventy-one thousand, one hundred seventy-two".