2052137 has 2 divisors, whose sum is σ = 2052138. Its totient is φ = 2052136.

The previous prime is 2052119. The next prime is 2052157. The reversal of 2052137 is 7312502.

It is an a-pointer prime, because the next prime (2052157) can be obtained adding 2052137 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1510441 + 541696 = 1229^2 + 736^2 .

It is a cyclic number.

It is not a de Polignac number, because 2052137 - 2¹⁰ = 2051113 is a prime.

It is a super-2 number, since 2×2052137² = 8422532533538, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2052157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1026068 + 1026069.

It is an arithmetic number, because the mean of its divisors is an integer number (1026069).

2^2052137 is an apocalyptic number.

It is an amenable number.

2052137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2052137 is an equidigital number, since it uses as much as digits as its factorization.

2052137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 2052137 is about 1432.5281847140. The cubic root of 2052137 is about 127.0775354756.

Adding to 2052137 its reverse (7312502), we get a palindrome (9364639).

The spelling of 2052137 in words is "two million, fifty-two thousand, one hundred thirty-seven".