213605532 has 96 divisors (see below), whose sum is σ = 654796800. Its totient is φ = 58919616.

The previous prime is 213605507. The next prime is 213605549. The reversal of 213605532 is 235506312.

213605532 is a `hidden beast` number, since 2 + 1 + 3 + 605 + 53 + 2 = 666.

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 = 213605496 and 213605505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17053 + ... + 26795.

It is an arithmetic number, because the mean of its divisors is an integer number (6820800).

Almost surely, 2^213605532 is an apocalyptic number.

213605532 is the 7308-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213605532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327398400).

213605532 is an abundant number, since it is smaller than the sum of its proper divisors (441191268).

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

213605532 is a wasteful number, since it uses less digits than its factorization.

213605532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9792 (or 9784 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 213605532 is about 14615.2499807564. The cubic root of 213605532 is about 597.7746566153.

The spelling of 213605532 in words is "two hundred thirteen million, six hundred five thousand, five hundred thirty-two".