67121 has 2 divisors, whose sum is σ = 67122. Its totient is φ = 67120.

The previous prime is 67103. The next prime is 67129. The reversal of 67121 is 12176.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57121 + 10000 = 239^2 + 100^2 .

It is a cyclic number.

It is not a de Polignac number, because 67121 - 2⁶ = 67057 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 67121.

It is not a weakly prime, because it can be changed into another prime (67129) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33560 + 33561.

It is an arithmetic number, because the mean of its divisors is an integer number (33561).

2⁶⁷¹²¹ is an apocalyptic number.

It is an amenable number.

67121 is a deficient number, since it is larger than the sum of its proper divisors (1).

67121 is an equidigital number, since it uses as much as digits as its factorization.

67121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 84, while the sum is 17.

The square root of 67121 is about 259.0772085692. The cubic root of 67121 is about 40.6399164159.

Adding to 67121 its reverse (12176), we get a palindrome (79297).

Subtracting from 67121 its reverse (12176), we obtain a palindrome (54945).

The spelling of 67121 in words is "sixty-seven thousand, one hundred twenty-one".