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31361 = 112851
BaseRepresentation
bin111101010000001
31121000112
413222001
52000421
6401105
7160301
oct75201
947015
1031361
1121620
1216195
1311375
14b601
15945b
hex7a81

31361 has 4 divisors (see below), whose sum is σ = 34224. Its totient is φ = 28500.

The previous prime is 31357. The next prime is 31379. The reversal of 31361 is 16313.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 16313 = 111483.

It is a cyclic number.

It is not a de Polignac number, because 31361 - 22 = 31357 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1415 + ... + 1436.

It is an arithmetic number, because the mean of its divisors is an integer number (8556).

231361 is an apocalyptic number.

It is an amenable number.

31361 is a deficient number, since it is larger than the sum of its proper divisors (2863).

31361 is a wasteful number, since it uses less digits than its factorization.

31361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862.

The product of its digits is 54, while the sum is 14.

The square root of 31361 is about 177.0903724091. The cubic root of 31361 is about 31.5352758417.

Adding to 31361 its sum of digits (14), we get a triangular number (31375 = T250).

Adding to 31361 its reverse (16313), we get a palindrome (47674).

The spelling of 31361 in words is "thirty-one thousand, three hundred sixty-one".

Divisors: 1 11 2851 31361