212553 has 24 divisors (see below), whose sum is σ = 355680. Its totient is φ = 120960.

The previous prime is 212507. The next prime is 212557. The reversal of 212553 is 355212.

It is a happy number.

It is not a de Polignac number, because 212553 - 2⁸ = 212297 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (212557) 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, 1825 + ... + 1937.

It is an arithmetic number, because the mean of its divisors is an integer number (14820).

2²¹²⁵⁵³ is an apocalyptic number.

It is an amenable number.

212553 is a deficient number, since it is larger than the sum of its proper divisors (143127).

212553 is a wasteful number, since it uses less digits than its factorization.

212553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 146 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 212553 is about 461.0347058520. The cubic root of 212553 is about 59.6791203298.

Adding to 212553 its reverse (355212), we get a palindrome (567765).

The spelling of 212553 in words is "two hundred twelve thousand, five hundred fifty-three".