13643532 has 48 divisors (see below), whose sum is σ = 40427520. Its totient is φ = 3897936.

The previous prime is 13643527. The next prime is 13643533. The reversal of 13643532 is 23534631.

It is a happy number.

13643532 is a `hidden beast` number, since 13 + 643 + 5 + 3 + 2 = 666.

It is a super-2 number, since 2×13643532² = 372291930870048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13643496 and 13643505.

It is not an unprimeable number, because it can be changed into a prime (13643533) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8268 + ... + 9779.

It is an arithmetic number, because the mean of its divisors is an integer number (842240).

Almost surely, 2^13643532 is an apocalyptic number.

13643532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13643532 is an abundant number, since it is smaller than the sum of its proper divisors (26783988).

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

13643532 is a wasteful number, since it uses less digits than its factorization.

13643532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18067 (or 18059 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 13643532 is about 3693.7152028818. The cubic root of 13643532 is about 238.9510470866.

It can be divided in two parts, 13 and 643532, that added together give a triangular number (643545 = T₁₁₃₄).

The spelling of 13643532 in words is "thirteen million, six hundred forty-three thousand, five hundred thirty-two".