137397 has 12 divisors (see below), whose sum is σ = 199104. Its totient is φ = 84240.

The previous prime is 137393. The next prime is 137399. The reversal of 137397 is 793731.

It is not a de Polignac number, because 137397 - 2² = 137393 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137393) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 372 + ... + 642.

It is an arithmetic number, because the mean of its divisors is an integer number (16592).

2¹³⁷³⁹⁷ is an apocalyptic number.

It is an amenable number.

137397 is a deficient number, since it is larger than the sum of its proper divisors (61707).

137397 is a wasteful number, since it uses less digits than its factorization.

137397 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 287 counting only the distinct ones).

The product of its digits is 3969, while the sum is 30.

The square root of 137397 is about 370.6710131640. The cubic root of 137397 is about 51.6011146926.

The spelling of 137397 in words is "one hundred thirty-seven thousand, three hundred ninety-seven".