15121 has 2 divisors, whose sum is σ = 15122. Its totient is φ = 15120.

The previous prime is 15107. The next prime is 15131. The reversal of 15121 is 12151.

Adding to 15121 its reverse (12151), we get a palindrome (27272).

It can be divided in two parts, 15 and 121, that added together give a triangular number (136 = T_{16}).

It is a happy number.

15121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (15131) can be obtained adding 15121 to its sum of digits (10).

It is a m-pointer prime, because the next prime (15131) can be obtained adding 15121 to its product of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11025 + 4096 = 105^2 + 64^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^{k}-15121 is a prime.

It is an Ulam number.

15121 is a lucky number.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 15098 and 15107.

It is not a weakly prime, because it can be changed into another prime (15101) 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, 7560 + 7561.

It is an arithmetic number, because the mean of its divisors is an integer number (7561).

2^{15121} is an apocalyptic number.

It is an amenable number.

15121 is a deficient number, since it is larger than the sum of its proper divisors (1).

15121 is an equidigital number, since it uses as much as digits as its factorization.

15121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10, while the sum is 10.

The square root of 15121 is about 122.9674753746. The cubic root of 15121 is about 24.7282569304.

The spelling of 15121 in words is "fifteen thousand, one hundred twenty-one".

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