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137971 = 281491
BaseRepresentation
bin100001101011110011
321000021001
4201223303
513403341
62542431
71113151
oct415363
9230231
10137971
1194729
1267a17
134aa52
14383d1
152ad31
hex21af3

137971 has 4 divisors (see below), whose sum is σ = 138744. Its totient is φ = 137200.

The previous prime is 137957. The next prime is 137983. The reversal of 137971 is 179731.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 179731 = 191941.

It is a 4-Lehmer number, since φ(137971) divides (137971-1)4.

It is a cyclic number.

It is not a de Polignac number, because 137971 - 217 = 6899 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137911) 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, 36 + ... + 526.

It is an arithmetic number, because the mean of its divisors is an integer number (34686).

2137971 is an apocalyptic number.

137971 is a deficient number, since it is larger than the sum of its proper divisors (773).

137971 is an equidigital number, since it uses as much as digits as its factorization.

137971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772.

The product of its digits is 1323, while the sum is 28.

The square root of 137971 is about 371.4444776814. Note that the first 4 decimals coincide. The cubic root of 137971 is about 51.6728724191.

The spelling of 137971 in words is "one hundred thirty-seven thousand, nine hundred seventy-one".

Divisors: 1 281 491 137971