211953 has 8 divisors (see below), whose sum is σ = 323008. Its totient is φ = 121104.

The previous prime is 211949. The next prime is 211969. The reversal of 211953 is 359112.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 211953 - 2² = 211949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 10093 = 211953 / (2 + 1 + 1 + 9 + 5 + 3).

It is not an unprimeable number, because it can be changed into a prime (211933) 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, 5026 + ... + 5067.

It is an arithmetic number, because the mean of its divisors is an integer number (40376).

2²¹¹⁹⁵³ is an apocalyptic number.

It is an amenable number.

211953 is a deficient number, since it is larger than the sum of its proper divisors (111055).

211953 is a wasteful number, since it uses less digits than its factorization.

211953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10103.

The product of its digits is 270, while the sum is 21.

The square root of 211953 is about 460.3835357612. The cubic root of 211953 is about 59.6229128303.

The spelling of 211953 in words is "two hundred eleven thousand, nine hundred fifty-three".