212981832 has 96 divisors (see below), whose sum is σ = 688240800. Its totient is φ = 60848928.

The previous prime is 212981809. The next prime is 212981837. The reversal of 212981832 is 238189212.

It is a super-2 number, since 2×212981832² = 90722521524152448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (212981837) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 523 + ... + 20645.

It is an arithmetic number, because the mean of its divisors is an integer number (7169175).

Almost surely, 2^212981832 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 212981832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344120400).

212981832 is an abundant number, since it is smaller than the sum of its proper divisors (475258968).

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

212981832 is a wasteful number, since it uses less digits than its factorization.

212981832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20152 (or 20135 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 212981832 is about 14593.8970806293. The cubic root of 212981832 is about 597.1922816910.

The spelling of 212981832 in words is "two hundred twelve million, nine hundred eighty-one thousand, eight hundred thirty-two".