1917952 has 22 divisors (see below), whose sum is σ = 3836078. Its totient is φ = 958464.

The previous prime is 1917943. The next prime is 1917959. The reversal of 1917952 is 2597191.

It can be written as a sum of positive squares in only one way, i.e., 1115136 + 802816 = 1056^2 + 896^2 .

It is not an unprimeable number, because it can be changed into a prime (1917959) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 88 + ... + 1960.

2^1917952 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 1917952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918039).

1917952 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

1917952 is an equidigital number, since it uses as much as digits as its factorization.

1917952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1893 (or 1875 counting only the distinct ones).

The product of its digits is 5670, while the sum is 34.

The square root of 1917952 is about 1384.9014405365. The cubic root of 1917952 is about 124.2450927650.

It can be divided in two parts, 19 and 17952, that added together give a palindrome (17971).

The spelling of 1917952 in words is "one million, nine hundred seventeen thousand, nine hundred fifty-two".