214542 has 32 divisors (see below), whose sum is σ = 496800. Its totient is φ = 68544.

The previous prime is 214541. The next prime is 214559. The reversal of 214542 is 245412.

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

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 214542.

It is not an unprimeable number, because it can be changed into a prime (214541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1498 + ... + 1634.

It is an arithmetic number, because the mean of its divisors is an integer number (15525).

2²¹⁴⁵⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248400).

214542 is an abundant number, since it is smaller than the sum of its proper divisors (282258).

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

214542 is a wasteful number, since it uses less digits than its factorization.

214542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 171 counting only the distinct ones).

The product of its digits is 320, while the sum is 18.

The square root of 214542 is about 463.1867873763. The cubic root of 214542 is about 59.8646951058.

Adding to 214542 its reverse (245412), we get a palindrome (459954).

It can be divided in two parts, 2145 and 42, that added together give a 7-th power (2187 = 3⁷).

The spelling of 214542 in words is "two hundred fourteen thousand, five hundred forty-two".