68121 has 15 divisors (see below), whose sum is σ = 105391. Its totient is φ = 43848.

The previous prime is 68113. The next prime is 68141. The reversal of 68121 is 12186.

It can be divided in two parts, 68 and 121, that multiplied together give a palindrome (8228).

68121 = T_{260} + T_{261}.

The square root of 68121 is 261.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 35721 + 32400 = 189^2 + 180^2 .

It is not a de Polignac number, because 68121 - 2^{3} = 68113 is a prime.

It is a Duffinian number.

Its product of digits (96) is a multiple of the sum of its prime divisors (32).

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 68094 and 68103.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 68121.

It is not an unprimeable number, because it can be changed into a prime (68111) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2335 + ... + 2363.

2^{68121} is an apocalyptic number.

68121 is the 261-st square number.

68121 is the 131-st centered octagonal number.

It is an amenable number.

68121 is a deficient number, since it is larger than the sum of its proper divisors (37270).

68121 is an equidigital number, since it uses as much as digits as its factorization.

68121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 32 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The cubic root of 68121 is about 40.8407464906.

The spelling of 68121 in words is "sixty-eight thousand, one hundred twenty-one".

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