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32121 = 324383
BaseRepresentation
bin111110101111001
31122001200
413311321
52011441
6404413
7162435
oct76571
948050
1032121
1122151
1216709
131180b
14b9c5
1597b6
hex7d79

32121 has 12 divisors (see below), whose sum is σ = 48048. Its totient is φ = 20664.

The previous prime is 32119. The next prime is 32141. The reversal of 32121 is 12123.

Adding to 32121 its reverse (12123), we get a palindrome (44244).

It can be divided in two parts, 32 and 121, that added together give a triangular number (153 = T17).

It is a happy number.

32121 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 32121 - 21 = 32119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an alternating number because its digits alternate between odd and even.

32121 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32121.

It is not an unprimeable number, because it can be changed into a prime (32141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 346 + ... + 428.

It is an arithmetic number, because the mean of its divisors is an integer number (4004).

232121 is an apocalyptic number.

It is an amenable number.

32121 is a deficient number, since it is larger than the sum of its proper divisors (15927).

32121 is a wasteful number, since it uses less digits than its factorization.

32121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 129 counting only the distinct ones).

The product of its digits is 12, while the sum is 9.

The square root of 32121 is about 179.2233243749. The cubic root of 32121 is about 31.7879864434.

The spelling of 32121 in words is "thirty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 43 83 129 249 387 747 3569 10707 32121