121577 has 2 divisors, whose sum is σ = 121578. Its totient is φ = 121576.

The previous prime is 121571. The next prime is 121579. The reversal of 121577 is 775121.

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., 90601 + 30976 = 301^2 + 176^2 .

It is an emirp because it is prime and its reverse (775121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 121577 - 2⁸ = 121321 is a prime.

Together with 121579, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is not a weakly prime, because it can be changed into another prime (121571) 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 as a sum of consecutive naturals, namely, 60788 + 60789.

It is an arithmetic number, because the mean of its divisors is an integer number (60789).

2¹²¹⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

121577 is a deficient number, since it is larger than the sum of its proper divisors (1).

121577 is an equidigital number, since it uses as much as digits as its factorization.

121577 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 490, while the sum is 23.

The square root of 121577 is about 348.6789354119. The cubic root of 121577 is about 49.5393694210.

Adding to 121577 its reverse (775121), we get a palindrome (896698).

The spelling of 121577 in words is "one hundred twenty-one thousand, five hundred seventy-seven".