212501 has 2 divisors, whose sum is σ = 212502. Its totient is φ = 212500.

The previous prime is 212479. The next prime is 212507. The reversal of 212501 is 105212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 207025 + 5476 = 455^2 + 74^2 .

It is a cyclic number.

It is not a de Polignac number, because 212501 - 2⁶ = 212437 is a prime.

It is a Sophie Germain prime.

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

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 212501.

It is not a weakly prime, because it can be changed into another prime (212507) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106250 + 106251.

It is an arithmetic number, because the mean of its divisors is an integer number (106251).

2²¹²⁵⁰¹ is an apocalyptic number.

It is an amenable number.

212501 is a deficient number, since it is larger than the sum of its proper divisors (1).

212501 is an equidigital number, since it uses as much as digits as its factorization.

212501 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 212501 is about 460.9783075157. The cubic root of 212501 is about 59.6742532027.

Adding to 212501 its product of nonzero digits (20), we get a square (212521 = 461²).

Adding to 212501 its reverse (105212), we get a palindrome (317713).

The spelling of 212501 in words is "two hundred twelve thousand, five hundred one".