35632 has 20 divisors (see below), whose sum is σ = 73656. Its totient is φ = 16640.

The previous prime is 35617. The next prime is 35671. The reversal of 35632 is 23653.

It is an unprimeable number.

35632 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 207 + ... + 337.

2³⁵⁶³² 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 35632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36828).

35632 is an abundant number, since it is smaller than the sum of its proper divisors (38024).

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

35632 is a wasteful number, since it uses less digits than its factorization.

35632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 150 counting only the distinct ones).

The product of its digits is 540, while the sum is 19.

The square root of 35632 is about 188.7644034240. The cubic root of 35632 is about 32.9063768154.

The spelling of 35632 in words is "thirty-five thousand, six hundred thirty-two".