137297 has 4 divisors (see below), whose sum is σ = 138096. Its totient is φ = 136500.

The previous prime is 137279. The next prime is 137303. The reversal of 137297 is 792731.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 137297 - 2^{10} = 136273 is a prime.

It is a d-powerful number, because it can be written as **1** + **3**^{10} + **2**^{11} + **7**^{3} + **9**^{5} + **7**^{5} .

It is a Duffinian number.

It is a plaindrome in base 7.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (137197) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23 + ... + 524.

It is an arithmetic number, because the mean of its divisors is an integer number (34524).

2^{137297} is an apocalyptic number.

It is an amenable number.

137297 is a deficient number, since it is larger than the sum of its proper divisors (799).

137297 is an equidigital number, since it uses as much as digits as its factorization.

137297 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798.

The product of its digits is 2646, while the sum is 29.

The square root of 137297 is about 370.5360981065. The cubic root of 137297 is about 51.5885929154.

It can be divided in two parts, 137 and 297, that added together give a palindrome (434).

The spelling of 137297 in words is "one hundred thirty-seven thousand, two hundred ninety-seven".

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