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BaseRepresentation
bin10101011100001
3120001120
42223201
5322402
6122453
744001
oct25341
916046
1010977
11827a
126429
134cc5
144001
1533bc
hex2ae1

10977 has 4 divisors (see below), whose sum is σ = 14640. Its totient is φ = 7316.

The previous prime is 10973. The next prime is 10979. The reversal of 10977 is 77901.

10977 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10977 - 22 = 10973 is a prime.

It is an Ulam number.

It is a D-number.

10977 is a lucky number.

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10977.

It is not an unprimeable number, because it can be changed into a prime (10973) 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, 1827 + ... + 1832.

It is an arithmetic number, because the mean of its divisors is an integer number (3660).

210977 is an apocalyptic number.

It is an amenable number.

10977 is a deficient number, since it is larger than the sum of its proper divisors (3663).

10977 is an equidigital number, since it uses as much as digits as its factorization.

10977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3662.

The product of its (nonzero) digits is 441, while the sum is 24.

The square root of 10977 is about 104.7711792431. The cubic root of 10977 is about 22.2242896225.

The spelling of 10977 in words is "ten thousand, nine hundred seventy-seven".

Divisors: 1 3 3659 10977