57171200 has 54 divisors (see below), whose sum is σ = 141523494. Its totient is φ = 22865920.

The previous prime is 57171181. The next prime is 57171217. The reversal of 57171200 is 217175.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 861184 + 56310016 = 928^2 + 7504^2 .

It is a super-2 number, since 2×57171200² = 6537092218880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1934 + ... + 10866.

Almost surely, 2^57171200 is an apocalyptic number.

57171200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70761747).

57171200 is an abundant number, since it is smaller than the sum of its proper divisors (84352294).

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

57171200 is an equidigital number, since it uses as much as digits as its factorization.

57171200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8959 (or 8940 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 23.

The square root of 57171200 is about 7561.1639315650. The cubic root of 57171200 is about 385.2350282494.

Adding to 57171200 its reverse (217175), we get a palindrome (57388375).

The spelling of 57171200 in words is "fifty-seven million, one hundred seventy-one thousand, two hundred".