214100 has 18 divisors (see below), whose sum is σ = 464814. Its totient is φ = 85600.

The previous prime is 214091. The next prime is 214129. The reversal of 214100 is 1412.

It can be written as a sum of positive squares in 3 ways, for example, as 55696 + 158404 = 236^2 + 398^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 971 + ... + 1170.

It is an arithmetic number, because the mean of its divisors is an integer number (25823).

2²¹⁴¹⁰⁰ is an apocalyptic number.

214100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214100 is an abundant number, since it is smaller than the sum of its proper divisors (250714).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

214100 is a wasteful number, since it uses less digits than its factorization.

214100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 214100 is about 462.7094120504. The cubic root of 214100 is about 59.8235557062.

Adding to 214100 its reverse (1412), we get a palindrome (215512).

The spelling of 214100 in words is "two hundred fourteen thousand, one hundred", and thus it is an iban number.