116877721 has 9 divisors (see below), whose sum is σ = 123570111. Its totient is φ = 110531664.

The previous prime is 116877661. The next prime is 116877727. The reversal of 116877721 is 127778611.

The square root of 116877721 is 10811.

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., 19263321 + 97614400 = 4389^2 + 9880^2 .

It is not a de Polignac number, because 116877721 - 2⁹ = 116877209 is a prime.

It is a Duffinian number.

Its product of digits (32928) is a multiple of the sum of its prime divisors (588).

It is not an unprimeable number, because it can be changed into a prime (116877727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 205125 + ... + 205693.

Almost surely, 2^116877721 is an apocalyptic number.

116877721 is the 10811-st square number.

116877721 is the 5406-th centered octagonal number.

It is an amenable number.

116877721 is a deficient number, since it is larger than the sum of its proper divisors (6692390).

116877721 is an frugal number, since it uses more digits than its factorization.

116877721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 588 counting only the distinct ones).

The product of its digits is 32928, while the sum is 40.

The cubic root of 116877721 is about 488.9268768481.

The spelling of 116877721 in words is "one hundred sixteen million, eight hundred seventy-seven thousand, seven hundred twenty-one".