214753 has 8 divisors (see below), whose sum is σ = 267840. Its totient is φ = 167280.

The previous prime is 214741. The next prime is 214759. The reversal of 214753 is 357412.

214753 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-214753 is a prime.

It is a super-2 number, since 2×214753² = 92237702018, which contains 22 as substring.

It is a Duffinian number.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1318 + ... + 1471.

It is an arithmetic number, because the mean of its divisors is an integer number (33480).

2²¹⁴⁷⁵³ is an apocalyptic number.

It is an amenable number.

214753 is a deficient number, since it is larger than the sum of its proper divisors (53087).

214753 is a wasteful number, since it uses less digits than its factorization.

214753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2807.

The product of its digits is 840, while the sum is 22.

The square root of 214753 is about 463.4145012837. The cubic root of 214753 is about 59.8843141267.

It can be divided in two parts, 21 and 4753, that added together give a palindrome (4774).

The spelling of 214753 in words is "two hundred fourteen thousand, seven hundred fifty-three".