214125353 has 32 divisors (see below), whose sum is σ = 252618912. Its totient is φ = 179712000.

The previous prime is 214125343. The next prime is 214125389. The reversal of 214125353 is 353521412.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 28430224 + 185695129 = 5332^2 + 13627^2 .

It is not a de Polignac number, because 214125353 - 2¹⁰ = 214124329 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (214125343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1182923 + ... + 1183103.

It is an arithmetic number, because the mean of its divisors is an integer number (7894341).

Almost surely, 2^214125353 is an apocalyptic number.

It is an amenable number.

214125353 is a deficient number, since it is larger than the sum of its proper divisors (38493559).

214125353 is a wasteful number, since it uses less digits than its factorization.

214125353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365.

The product of its digits is 3600, while the sum is 26.

The square root of 214125353 is about 14633.0226884263. The cubic root of 214125353 is about 598.2591698093.

Adding to 214125353 its reverse (353521412), we get a palindrome (567646765).

It can be divided in two parts, 2141253 and 53, that multiplied together give a square (113486409 = 10653²).

The spelling of 214125353 in words is "two hundred fourteen million, one hundred twenty-five thousand, three hundred fifty-three".