137793 has 8 divisors (see below), whose sum is σ = 191808. Its totient is φ = 87824.

The previous prime is 137791. The next prime is 137803. The reversal of 137793 is 397731.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137793 - 2¹ = 137791 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137793.

It is not an unprimeable number, because it can be changed into a prime (137791) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 930 + ... + 1067.

It is an arithmetic number, because the mean of its divisors is an integer number (23976).

137793 is a Friedman number, since it can be written as 3+9*(7*3^7+1), using all its digits and the basic arithmetic operations.

2¹³⁷⁷⁹³ is an apocalyptic number.

It is an amenable number.

137793 is a deficient number, since it is larger than the sum of its proper divisors (54015).

137793 is a wasteful number, since it uses less digits than its factorization.

137793 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023.

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

The square root of 137793 is about 371.2047952276. The cubic root of 137793 is about 51.6506413475.

The spelling of 137793 in words is "one hundred thirty-seven thousand, seven hundred ninety-three".