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32113 = 171889
BaseRepresentation
bin111110101110001
31122001101
413311301
52011423
6404401
7162424
oct76561
948041
1032113
1122144
1216701
1311803
14b9bb
hex7d71

32113 has 4 divisors (see below), whose sum is σ = 34020. Its totient is φ = 30208.

The previous prime is 32099. The next prime is 32117. The reversal of 32113 is 31123.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 20449 + 11664 = 143^2 + 108^2 .

It is a cyclic number.

It is not a de Polignac number, because 32113 - 29 = 31601 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 32113.

It is not an unprimeable number, because it can be changed into a prime (32117) 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, 928 + ... + 961.

It is an arithmetic number, because the mean of its divisors is an integer number (8505).

232113 is an apocalyptic number.

It is an amenable number.

32113 is a deficient number, since it is larger than the sum of its proper divisors (1907).

32113 is a wasteful number, since it uses less digits than its factorization.

32113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906.

The product of its digits is 18, while the sum is 10.

The square root of 32113 is about 179.2010044615. The cubic root of 32113 is about 31.7853472042.

Adding to 32113 its sum of digits (10), we get a palindrome (32123).

Adding to 32113 its product of digits (18), we get a triangular number (32131 = T253).

Adding to 32113 its reverse (31123), we get a palindrome (63236).

Subtracting from 32113 its reverse (31123), we obtain a triangular number (990 = T44).

It can be divided in two parts, 3 and 2113, that added together give a square (2116 = 462).

The spelling of 32113 in words is "thirty-two thousand, one hundred thirteen".

Divisors: 1 17 1889 32113