210953000 has 64 divisors (see below), whose sum is σ = 522709200. Its totient is φ = 79411200.

The previous prime is 210952997. The next prime is 210953009. The reversal of 210953000 is 359012.

210953000 is digitally balanced in base 3, 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 64516 + 210888484 = 254^2 + 14522^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210953009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10796 + ... + 23204.

Almost surely, 2^210953000 is an apocalyptic number.

210953000 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 210953000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261354600).

210953000 is an abundant number, since it is smaller than the sum of its proper divisors (311756200).

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

210953000 is a wasteful number, since it uses less digits than its factorization.

210953000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12447 (or 12433 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 210953000 is about 14524.2211495144. The cubic root of 210953000 is about 595.2899747036.

The spelling of 210953000 in words is "two hundred ten million, nine hundred fifty-three thousand".