191200401 has 54 divisors (see below), whose sum is σ = 339349842. Its totient is φ = 103420800.

The previous prime is 191200327. The next prime is 191200417. The reversal of 191200401 is 104002191.

It can be written as a sum of positive squares in only one way, i.e., 99500625 + 91699776 = 9975^2 + 9576^2 .

It is not a de Polignac number, because 191200401 - 2¹⁵ = 191167633 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191200441) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 158601 + ... + 159801.

Almost surely, 2^191200401 is an apocalyptic number.

It is an amenable number.

191200401 is a deficient number, since it is larger than the sum of its proper divisors (148149441).

191200401 is a wasteful number, since it uses less digits than its factorization.

191200401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 191200401 is about 13827.5233140284. The cubic root of 191200401 is about 576.0978656773.

Adding to 191200401 its reverse (104002191), we get a palindrome (295202592).

The spelling of 191200401 in words is "one hundred ninety-one million, two hundred thousand, four hundred one".