57652 has 24 divisors (see below), whose sum is σ = 120960. Its totient is φ = 23520.

The previous prime is 57649. The next prime is 57653. The reversal of 57652 is 25675.

57652 = T₄₈ + T₄₉ + ... + T₇₆.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 777 + ... + 847.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

2⁵⁷⁶⁵² 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 57652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480).

57652 is an abundant number, since it is smaller than the sum of its proper divisors (63308).

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

57652 is a wasteful number, since it uses less digits than its factorization.

57652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 109 counting only the distinct ones).

The product of its digits is 2100, while the sum is 25.

The square root of 57652 is about 240.1083088941. The cubic root of 57652 is about 38.6311935202.

The spelling of 57652 in words is "fifty-seven thousand, six hundred fifty-two".