2102137 has 2 divisors, whose sum is σ = 2102138. Its totient is φ = 2102136.

The previous prime is 2102117. The next prime is 2102143. The reversal of 2102137 is 7312012.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1687401 + 414736 = 1299^2 + 644^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2102137 is a prime.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2102137.

It is not a weakly prime, because it can be changed into another prime (2102117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051068 + 1051069.

It is an arithmetic number, because the mean of its divisors is an integer number (1051069).

2^2102137 is an apocalyptic number.

It is an amenable number.

2102137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102137 is an equidigital number, since it uses as much as digits as its factorization.

2102137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 2102137 is about 1449.8748221829. The cubic root of 2102137 is about 128.1013398310.

Adding to 2102137 its reverse (7312012), we get a palindrome (9414149).

It can be divided in two parts, 21021 and 37, that multiplied together give a palindrome (777777).

The spelling of 2102137 in words is "two million, one hundred two thousand, one hundred thirty-seven".