• 19201² = 368678401 is an anagram of the next square 19202² = 368716804.

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19201 has 8 divisors (see below), whose sum is σ = 23744. Its totient is φ = 15120.

The previous prime is 19183. The next prime is 19207. The reversal of 19201 is 10291.

19201 is digitally balanced in base 3, 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 not a de Polignac number, because 19201 - 2⁷ = 19073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a deceptive number, since it divides R₁₉₂₀₀.

It is not an unprimeable number, because it can be changed into a prime (19207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15 + ... + 196.

It is an arithmetic number, because the mean of its divisors is an integer number (2968).

It is a Proth number, since it is equal to 75 ⋅ 2⁸ + 1 and 75 < 2⁸.

2¹⁹²⁰¹ is an apocalyptic number.

It is an amenable number.

19201 is a deficient number, since it is larger than the sum of its proper divisors (4543).

19201 is a wasteful number, since it uses less digits than its factorization.

19201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 19201 is about 138.5676729977. The cubic root of 19201 is about 26.7777828792. Note that the first 4 decimals are identical.

Adding to 19201 its reverse (10291), we get a palindrome (29492).

The spelling of 19201 in words is "nineteen thousand, two hundred one".