21838201 has 48 divisors (see below), whose sum is σ = 30643200. Its totient is φ = 15158880.

The previous prime is 21838171. The next prime is 21838231. The reversal of 21838201 is 10283812.

21838201 = 1404² + 1405² + ... + 1414².

It is an interprime number because it is at equal distance from previous prime (21838171) and next prime (21838231).

It is not a de Polignac number, because 21838201 - 2¹⁹ = 21313913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21838231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 370110 + ... + 370168.

It is an arithmetic number, because the mean of its divisors is an integer number (638400).

Almost surely, 2^21838201 is an apocalyptic number.

It is an amenable number.

21838201 is a deficient number, since it is larger than the sum of its proper divisors (8804999).

21838201 is a wasteful number, since it uses less digits than its factorization.

21838201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 21838201 is about 4673.1360990239. The cubic root of 21838201 is about 279.5153222250.

The spelling of 21838201 in words is "twenty-one million, eight hundred thirty-eight thousand, two hundred one".