121977 has 6 divisors (see below), whose sum is σ = 176202. Its totient is φ = 81312.

The previous prime is 121967. The next prime is 121993. The reversal of 121977 is 779121.

It can be written as a sum of positive squares in only one way, i.e., 114921 + 7056 = 339^2 + 84^2 .

It is not a de Polignac number, because 121977 - 2⁸ = 121721 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 121977.

It is not an unprimeable number, because it can be changed into a prime (121937) 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 5 ways as a sum of consecutive naturals, for example, 6768 + ... + 6785.

It is an arithmetic number, because the mean of its divisors is an integer number (29367).

2¹²¹⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

121977 is a deficient number, since it is larger than the sum of its proper divisors (54225).

121977 is a wasteful number, since it uses less digits than its factorization.

121977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13559 (or 13556 counting only the distinct ones).

The product of its digits is 882, while the sum is 27.

The square root of 121977 is about 349.2520579753. The cubic root of 121977 is about 49.5936397065.

It can be divided in two parts, 1219 and 77, that added together give a 4-th power (1296 = 6⁴).

The spelling of 121977 in words is "one hundred twenty-one thousand, nine hundred seventy-seven".