19937129 has 2 divisors, whose sum is σ = 19937130. Its totient is φ = 19937128.

The previous prime is 19937083. The next prime is 19937131. The reversal of 19937129 is 92173991.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18619225 + 1317904 = 4315^2 + 1148^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-19937129 is a prime.

It is a super-2 number, since 2×19937129² = 794978225525282, which contains 22 as substring.

Together with 19937131, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (19937429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9968564 + 9968565.

It is an arithmetic number, because the mean of its divisors is an integer number (9968565).

Almost surely, 2^19937129 is an apocalyptic number.

It is an amenable number.

19937129 is a deficient number, since it is larger than the sum of its proper divisors (1).

19937129 is an equidigital number, since it uses as much as digits as its factorization.

19937129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 30618, while the sum is 41.

The square root of 19937129 is about 4465.1012306554. The cubic root of 19937129 is about 271.1570328477.

The spelling of 19937129 in words is "nineteen million, nine hundred thirty-seven thousand, one hundred twenty-nine".