81137 has 8 divisors (see below), whose sum is σ = 94656. Its totient is φ = 68112.

The previous prime is 81131. The next prime is 81157. The reversal of 81137 is 73118.

81137 is nontrivially palindromic in base 4.

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 81137 - 2¹² = 77041 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 81137.

It is not an unprimeable number, because it can be changed into a prime (81131) 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, 383 + ... + 555.

It is an arithmetic number, because the mean of its divisors is an integer number (11832).

2⁸¹¹³⁷ is an apocalyptic number.

It is an amenable number.

81137 is a deficient number, since it is larger than the sum of its proper divisors (13519).

81137 is a wasteful number, since it uses less digits than its factorization.

81137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247.

The product of its digits is 168, while the sum is 20.

The square root of 81137 is about 284.8455721966. The cubic root of 81137 is about 43.2918669732.

It can be divided in two parts, 811 and 37, that added together give a palindrome (848).

The spelling of 81137 in words is "eighty-one thousand, one hundred thirty-seven".