30137 has 2 divisors, whose sum is σ = 30138. Its totient is φ = 30136.

The previous prime is 30133. The next prime is 30139. The reversal of 30137 is 73103.

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., 19321 + 10816 = 139^2 + 104^2 .

It is a cyclic number.

It is not a de Polignac number, because 30137 - 2² = 30133 is a prime.

Together with 30139, it forms a pair of twin primes.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 30137.

It is not a weakly prime, because it can be changed into another prime (30133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15068 + 15069.

It is an arithmetic number, because the mean of its divisors is an integer number (15069).

2³⁰¹³⁷ is an apocalyptic number.

It is an amenable number.

30137 is a deficient number, since it is larger than the sum of its proper divisors (1).

30137 is an equidigital number, since it uses as much as digits as its factorization.

30137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 63, while the sum is 14.

The square root of 30137 is about 173.6001152073. The cubic root of 30137 is about 31.1195522258.

The spelling of 30137 in words is "thirty thousand, one hundred thirty-seven".