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15401 is a prime number

15401 has 2 divisors, whose sum is σ = 15402. Its totient is φ = 15400.

The previous prime is 15391. The next prime is 15413. The reversal of 15401 is 10451.

15401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15376 + 25 = 124^2 + 5^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-15401 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a pancake number, because a pancake can be divided into 15401 parts by 175 straight cuts.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (15451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7700 + 7701.

It is an arithmetic number, because the mean of its divisors is an integer number (7701).

215401 is an apocalyptic number.

15401 is the 56-th centered decagonal number.

It is an amenable number.

15401 is a deficient number, since it is larger than the sum of its proper divisors (1).

15401 is an equidigital number, since it uses as much as digits as its factorization.

15401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 15401 is about 124.1007655093. The cubic root of 15401 is about 24.8799578512.

Adding to 15401 its reverse (10451), we get a palindrome (25852).

Subtracting from 15401 its reverse (10451), we obtain a triangular number (4950 = T99).

The spelling of 15401 in words is "fifteen thousand, four hundred one".