137697 has 16 divisors (see below), whose sum is σ = 215040. Its totient is φ = 76752.

The previous prime is 137659. The next prime is 137699. The reversal of 137697 is 796731.

It is not a de Polignac number, because 137697 - 2⁶ = 137633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137699) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1618 + ... + 1700.

It is an arithmetic number, because the mean of its divisors is an integer number (13440).

137697 is a Friedman number, since it can be written as 7*(3^9-7-6+1), using all its digits and the basic arithmetic operations.

2¹³⁷⁶⁹⁷ is an apocalyptic number.

It is an amenable number.

137697 is a deficient number, since it is larger than the sum of its proper divisors (77343).

137697 is an equidigital number, since it uses as much as digits as its factorization.

137697 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172.

The product of its digits is 7938, while the sum is 33.

The square root of 137697 is about 371.0754640232. The cubic root of 137697 is about 51.6386436080.

The spelling of 137697 in words is "one hundred thirty-seven thousand, six hundred ninety-seven".