42632 has 12 divisors (see below), whose sum is σ = 81045. Its totient is φ = 21024.

The previous prime is 42611. The next prime is 42641. The reversal of 42632 is 23624.

Multipling 42632 by its product of digits (288), we get a square (12278016 = 3504^{2}).

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

42632 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 42436 + 196 = 206^2 + 14^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=146.

It is a Duffinian number.

It is a nialpdrome in base 15.

It is a self number, because there is not a number *n* which added to its sum of digits gives 42632.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 42632.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 548 + ... + 620.

2^{42632} is an apocalyptic number.

It is an amenable number.

42632 is a deficient number, since it is larger than the sum of its proper divisors (38413).

42632 is an equidigital number, since it uses as much as digits as its factorization.

42632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 75 counting only the distinct ones).

The product of its digits is 288, while the sum is 17.

The square root of 42632 is about 206.4751801065. The cubic root of 42632 is about 34.9337522368.

The spelling of 42632 in words is "forty-two thousand, six hundred thirty-two".

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