1971104 has 24 divisors (see below), whose sum is σ = 4007808. Its totient is φ = 953280.

The previous prime is 1971091. The next prime is 1971107. The reversal of 1971104 is 4011791.

1971104 = 237² + 238² + ... + 267².

It is a self number, because there is not a number n which added to its sum of digits gives 1971104.

It is not an unprimeable number, because it can be changed into a prime (1971107) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2 + ... + 1985.

It is an arithmetic number, because the mean of its divisors is an integer number (166992).

2^1971104 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 1971104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003904).

1971104 is an abundant number, since it is smaller than the sum of its proper divisors (2036704).

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

1971104 is a wasteful number, since it uses less digits than its factorization.

1971104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 23.

The square root of 1971104 is about 1403.9601133935. The cubic root of 1971104 is about 125.3823810849.

Adding to 1971104 its reverse (4011791), we get a palindrome (5982895).

The spelling of 1971104 in words is "one million, nine hundred seventy-one thousand, one hundred four".