137897 has 4 divisors (see below), whose sum is σ = 139860. Its totient is φ = 135936.

The previous prime is 137873. The next prime is 137909. The reversal of 137897 is 798731.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 798731 = 263 ⋅3037.

It can be written as a sum of positive squares in 2 ways, for example, as 72361 + 65536 = 269^2 + 256^2 .

It is a cyclic number.

It is not a de Polignac number, because 137897 - 2¹² = 133801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137827) 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, 872 + ... + 1017.

It is an arithmetic number, because the mean of its divisors is an integer number (34965).

2¹³⁷⁸⁹⁷ is an apocalyptic number.

It is an amenable number.

137897 is a deficient number, since it is larger than the sum of its proper divisors (1963).

137897 is an equidigital number, since it uses as much as digits as its factorization.

137897 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1962.

The product of its digits is 10584, while the sum is 35.

The square root of 137897 is about 371.3448532025. The cubic root of 137897 is about 51.6636326118.

The spelling of 137897 in words is "one hundred thirty-seven thousand, eight hundred ninety-seven".