57246 has 32 divisors (see below), whose sum is σ = 138240. Its totient is φ = 15456.

The previous prime is 57241. The next prime is 57251. The reversal of 57246 is 64275.

57246 = 21² + 22² + ... + 56².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (57241) and next prime (57251).

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1195 + ... + 1241.

It is an arithmetic number, because the mean of its divisors is an integer number (4320).

2⁵⁷²⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69120).

57246 is an abundant number, since it is smaller than the sum of its proper divisors (80994).

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

57246 is a wasteful number, since it uses less digits than its factorization.

57246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88.

The product of its digits is 1680, while the sum is 24.

The square root of 57246 is about 239.2613633665. The cubic root of 57246 is about 38.5402962584.

It can be divided in two parts, 57 and 246, that added together give a palindrome (303).

The spelling of 57246 in words is "fifty-seven thousand, two hundred forty-six".