212401 has 8 divisors (see below), whose sum is σ = 255680. Its totient is φ = 172368.

The previous prime is 212383. The next prime is 212411. The reversal of 212401 is 104212.

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

It is not a de Polignac number, because 212401 - 2⁵ = 212369 is a prime.

It is a super-2 number, since 2×212401² = 90228369602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 666 + ... + 931.

It is an arithmetic number, because the mean of its divisors is an integer number (31960).

2²¹²⁴⁰¹ is an apocalyptic number.

It is an amenable number.

212401 is a deficient number, since it is larger than the sum of its proper divisors (43279).

212401 is a wasteful number, since it uses less digits than its factorization.

212401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623.

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 212401 is about 460.8698297784. The cubic root of 212401 is about 59.6648911109.

Adding to 212401 its reverse (104212), we get a palindrome (316613).

It can be divided in two parts, 2 and 12401, that added together give a triangular number (12403 = T₁₅₇).

The spelling of 212401 in words is "two hundred twelve thousand, four hundred one", and thus it is an iban number.