210114 has 20 divisors (see below), whose sum is σ = 471174. Its totient is φ = 69984.

The previous prime is 210113. The next prime is 210127. The reversal of 210114 is 411012.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 110889 + 99225 = 333^2 + 315^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 210096 and 210105.

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 210114.

It is not an unprimeable number, because it can be changed into a prime (210113) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 487 + ... + 810.

2²¹⁰¹¹⁴ is an apocalyptic number.

210114 is an abundant number, since it is smaller than the sum of its proper divisors (261060).

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

210114 is a wasteful number, since it uses less digits than its factorization.

210114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 210114 is about 458.3819368169. The cubic root of 210114 is about 59.4499732502.

Adding to 210114 its reverse (411012), we get a palindrome (621126).

It can be divided in two parts, 210 and 114, that added together give a square (324 = 18²).

The spelling of 210114 in words is "two hundred ten thousand, one hundred fourteen", and thus it is an iban number.