214129953 has 16 divisors (see below), whose sum is σ = 317466240. Its totient is φ = 142646832.

The previous prime is 214129919. The next prime is 214129961. The reversal of 214129953 is 359921412.

It is not a de Polignac number, because 214129953 - 2⁶ = 214129889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (214129963) 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 15 ways as a sum of consecutive naturals, for example, 53500 + ... + 57362.

It is an arithmetic number, because the mean of its divisors is an integer number (19841640).

Almost surely, 2^214129953 is an apocalyptic number.

It is an amenable number.

214129953 is a deficient number, since it is larger than the sum of its proper divisors (103336287).

214129953 is a wasteful number, since it uses less digits than its factorization.

214129953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5925 (or 5919 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 214129953 is about 14633.1798663175. The cubic root of 214129953 is about 598.2634538613.

The spelling of 214129953 in words is "two hundred fourteen million, one hundred twenty-nine thousand, nine hundred fifty-three".