214300401 has 32 divisors (see below), whose sum is σ = 345047040. Its totient is φ = 115703616.

The previous prime is 214300397. The next prime is 214300403. The reversal of 214300401 is 104003412.

It is not a de Polignac number, because 214300401 - 2² = 214300397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (214300403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24880 + ... + 32366.

It is an arithmetic number, because the mean of its divisors is an integer number (10782720).

Almost surely, 2^214300401 is an apocalyptic number.

214300401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

214300401 is a deficient number, since it is larger than the sum of its proper divisors (130746639).

214300401 is a wasteful number, since it uses less digits than its factorization.

214300401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7573.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 214300401 is about 14639.0027324268. The cubic root of 214300401 is about 598.4221515164.

Adding to 214300401 its reverse (104003412), we get a palindrome (318303813).

The spelling of 214300401 in words is "two hundred fourteen million, three hundred thousand, four hundred one".