2177152 has 32 divisors (see below), whose sum is σ = 4415580. Its totient is φ = 1069056.

The previous prime is 2177143. The next prime is 2177167. The reversal of 2177152 is 2517712.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2143296 + 33856 = 1464^2 + 184^2 .

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

It is a super-2 number, since 2×2177152² = 9479981662208, which contains 22 as substring.

It is a plaindrome in base 11.

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, 9228 + ... + 9460.

2^2177152 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 2177152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2207790).

2177152 is an abundant number, since it is smaller than the sum of its proper divisors (2238428).

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

2177152 is an equidigital number, since it uses as much as digits as its factorization.

2177152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 308 counting only the distinct ones).

The product of its digits is 980, while the sum is 25.

The square root of 2177152 is about 1475.5175363241. The cubic root of 2177152 is about 129.6073358648.

The spelling of 2177152 in words is "two million, one hundred seventy-seven thousand, one hundred fifty-two".