212901 has 16 divisors (see below), whose sum is σ = 314496. Its totient is φ = 127296.

The previous prime is 212897. The next prime is 212903. The reversal of 212901 is 109212.

It is a happy number.

It is not a de Polignac number, because 212901 - 2² = 212897 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212903) 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, 2016 + ... + 2118.

It is an arithmetic number, because the mean of its divisors is an integer number (19656).

2²¹²⁹⁰¹ is an apocalyptic number.

It is an amenable number.

212901 is a deficient number, since it is larger than the sum of its proper divisors (101595).

212901 is a wasteful number, since it uses less digits than its factorization.

212901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 212901 is about 461.4119634340. The cubic root of 212901 is about 59.7116722265.

The spelling of 212901 in words is "two hundred twelve thousand, nine hundred one".