212971392 has 96 divisors (see below), whose sum is σ = 616590000. Its totient is φ = 70557696.

The previous prime is 212971321. The next prime is 212971403. The reversal of 212971392 is 293179212.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 228784 + ... + 229712.

Almost surely, 2^212971392 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 212971392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308295000).

212971392 is an abundant number, since it is smaller than the sum of its proper divisors (403618608).

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

212971392 is a wasteful number, since it uses less digits than its factorization.

212971392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1133 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 212971392 is about 14593.5393924846. The cubic root of 212971392 is about 597.1825237549.

The spelling of 212971392 in words is "two hundred twelve million, nine hundred seventy-one thousand, three hundred ninety-two".