212801 has 2 divisors, whose sum is σ = 212802. Its totient is φ = 212800.

The previous prime is 212791. The next prime is 212827. The reversal of 212801 is 108212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 207025 + 5776 = 455^2 + 76^2 .

It is a cyclic number.

It is not a de Polignac number, because 212801 - 2¹⁰ = 211777 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (212851) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106400 + 106401.

It is an arithmetic number, because the mean of its divisors is an integer number (106401).

2²¹²⁸⁰¹ is an apocalyptic number.

It is an amenable number.

212801 is a deficient number, since it is larger than the sum of its proper divisors (1).

212801 is an equidigital number, since it uses as much as digits as its factorization.

212801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 212801 is about 461.3035876730. The cubic root of 212801 is about 59.7023218675.

The spelling of 212801 in words is "two hundred twelve thousand, eight hundred one".