57632 has 12 divisors (see below), whose sum is σ = 113526. Its totient is φ = 28800.

The previous prime is 57601. The next prime is 57637. The reversal of 57632 is 23675.

It can be written as a sum of positive squares in only one way, i.e., 55696 + 1936 = 236^2 + 44^2 .

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 57598 and 57607.

It is not an unprimeable number, because it can be changed into a prime (57637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 869 + ... + 932.

2⁵⁷⁶³² is an apocalyptic number.

It is an amenable number.

57632 is a deficient number, since it is larger than the sum of its proper divisors (55894).

57632 is a wasteful number, since it uses less digits than its factorization.

57632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811 (or 1803 counting only the distinct ones).

The product of its digits is 1260, while the sum is 23.

The square root of 57632 is about 240.0666574100. The cubic root of 57632 is about 38.6267258335.

The spelling of 57632 in words is "fifty-seven thousand, six hundred thirty-two".