104977 has 4 divisors (see below), whose sum is σ = 106020. Its totient is φ = 103936.

The previous prime is 104971. The next prime is 104987. The reversal of 104977 is 779401.

It is a Cunningham number, because it is equal to 18⁴+1.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 1936 + 103041 = 44^2 + 321^2 .

It is a cyclic number.

It is not a de Polignac number, because 104977 - 2⁷ = 104849 is a prime.

It is a super-2 number, since 2×104977² = 22040341058, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 352 + ... + 577.

It is an arithmetic number, because the mean of its divisors is an integer number (26505).

2¹⁰⁴⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

104977 is a deficient number, since it is larger than the sum of its proper divisors (1043).

104977 is an equidigital number, since it uses as much as digits as its factorization.

104977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042.

The product of its (nonzero) digits is 1764, while the sum is 28.

The square root of 104977 is about 324.0015432062. The cubic root of 104977 is about 47.1734948862.

It can be divided in two parts, 104 and 977, that added together give a triangular number (1081 = T₄₆).

The spelling of 104977 in words is "one hundred four thousand, nine hundred seventy-seven".