1217152 has 32 divisors (see below), whose sum is σ = 2500020. Its totient is φ = 589824.

The previous prime is 1217147. The next prime is 1217171. The reversal of 1217152 is 2517121.

It can be written as a sum of positive squares in 2 ways, for example, as 876096 + 341056 = 936^2 + 584^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1217152² = 2962917982208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4608 + ... + 4864.

2^1217152 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 1217152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250010).

1217152 is an abundant number, since it is smaller than the sum of its proper divisors (1282868).

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

1217152 is an equidigital number, since it uses as much as digits as its factorization.

1217152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 296 counting only the distinct ones).

The product of its digits is 140, while the sum is 19.

The square root of 1217152 is about 1103.2461194131. The cubic root of 1217152 is about 106.7697614365.

It can be divided in two parts, 1217 and 152, that added together give a square (1369 = 37²).

The spelling of 1217152 in words is "one million, two hundred seventeen thousand, one hundred fifty-two".