214290 has 24 divisors (see below), whose sum is σ = 557388. Its totient is φ = 57120.

The previous prime is 214283. The next prime is 214297. The reversal of 214290 is 92412.

It is an interprime number because it is at equal distance from previous prime (214283) and next prime (214297).

It can be written as a sum of positive squares in 2 ways, for example, as 173889 + 40401 = 417^2 + 201^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 214290.

It is not an unprimeable number, because it can be changed into a prime (214297) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1101 + ... + 1280.

2²¹⁴²⁹⁰ is an apocalyptic number.

214290 is an abundant number, since it is smaller than the sum of its proper divisors (343098).

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

214290 is a wasteful number, since it uses less digits than its factorization.

214290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2394 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 214290 is about 462.9146789636. The cubic root of 214290 is about 59.8412469952.

The spelling of 214290 in words is "two hundred fourteen thousand, two hundred ninety".