213284832 has 48 divisors (see below), whose sum is σ = 566979840. Its totient is φ = 70192512.

The previous prime is 213284807. The next prime is 213284833. The reversal of 213284832 is 238482312.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×213284832² = 90980839122536448, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 213284793 and 213284802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213284833) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6478 + ... + 21645.

It is an arithmetic number, because the mean of its divisors is an integer number (11812080).

Almost surely, 2^213284832 is an apocalyptic number.

It is an amenable number.

213284832 is an abundant number, since it is smaller than the sum of its proper divisors (353695008).

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

213284832 is a wasteful number, since it uses less digits than its factorization.

213284832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28215 (or 28207 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 213284832 is about 14604.2744427787. The cubic root of 213284832 is about 597.4753473369.

The spelling of 213284832 in words is "two hundred thirteen million, two hundred eighty-four thousand, eight hundred thirty-two".