212953000 has 64 divisors (see below), whose sum is σ = 536674320. Its totient is φ = 78624000.

The previous prime is 212952989. The next prime is 212953031. The reversal of 212953000 is 359212.

212953000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 32695524 + 180257476 = 5718^2 + 13426^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4810 + ... + 21190.

Almost surely, 2^212953000 is an apocalyptic number.

212953000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212953000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268337160).

212953000 is an abundant number, since it is smaller than the sum of its proper divisors (323721320).

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

212953000 is a wasteful number, since it uses less digits than its factorization.

212953000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16415 (or 16401 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 212953000 is about 14592.9092370233. The cubic root of 212953000 is about 597.1653325615.

The spelling of 212953000 in words is "two hundred twelve million, nine hundred fifty-three thousand".