54632 has 8 divisors (see below), whose sum is σ = 102450. Its totient is φ = 27312.

The previous prime is 54631. The next prime is 54647. The reversal of 54632 is 23645.

54632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 45796 + 8836 = 214^2 + 94^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a d-powerful number, because it can be written as 5⁵ + 4⁶ + 6⁶ + 3⁵ + 2⁹ .

It is not an unprimeable number, because it can be changed into a prime (54631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3407 + ... + 3422.

2⁵⁴⁶³² is an apocalyptic number.

It is an amenable number.

54632 is a deficient number, since it is larger than the sum of its proper divisors (47818).

54632 is a wasteful number, since it uses less digits than its factorization.

54632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6835 (or 6831 counting only the distinct ones).

The product of its digits is 720, while the sum is 20.

The square root of 54632 is about 233.7348925599. The cubic root of 54632 is about 37.9445173689.

It can be divided in two parts, 54 and 632, that added together give a palindrome (686).

The spelling of 54632 in words is "fifty-four thousand, six hundred thirty-two".