137997 has 16 divisors (see below), whose sum is σ = 216000. Its totient is φ = 86832.

The previous prime is 137993. The next prime is 137999. The reversal of 137997 is 799731.

It is not a de Polignac number, because 137997 - 2² = 137993 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 137997.

It is not an unprimeable number, because it can be changed into a prime (137993) 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, 379 + ... + 647.

It is an arithmetic number, because the mean of its divisors is an integer number (13500).

2¹³⁷⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

137997 is a deficient number, since it is larger than the sum of its proper divisors (78003).

137997 is a wasteful number, since it uses less digits than its factorization.

137997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 291 counting only the distinct ones).

The product of its digits is 11907, while the sum is 36.

The square root of 137997 is about 371.4794745339. The cubic root of 137997 is about 51.6761180536.

The spelling of 137997 in words is "one hundred thirty-seven thousand, nine hundred ninety-seven".