214752 has 24 divisors (see below), whose sum is σ = 563976. Its totient is φ = 71552.

The previous prime is 214741. The next prime is 214759. The reversal of 214752 is 257412.

214752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×214752² = 92236843008, which contains 22 as substring.

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 214752.

It is not an unprimeable number, because it can be changed into a prime (214759) by changing a digit.

214752 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1023 + ... + 1214.

It is an arithmetic number, because the mean of its divisors is an integer number (23499).

2²¹⁴⁷⁵² is an apocalyptic number.

It is an amenable number.

214752 is an abundant number, since it is smaller than the sum of its proper divisors (349224).

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

214752 is a wasteful number, since it uses less digits than its factorization.

214752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2250 (or 2242 counting only the distinct ones).

The product of its digits is 560, while the sum is 21.

The square root of 214752 is about 463.4134223347. The cubic root of 214752 is about 59.8842211759.

The spelling of 214752 in words is "two hundred fourteen thousand, seven hundred fifty-two".