977105 has 8 divisors (see below), whose sum is σ = 1189032. Its totient is φ = 770688.

The previous prime is 977087. The next prime is 977107. The reversal of 977105 is 501779.

It can be written as a sum of positive squares in 4 ways, for example, as 961 + 976144 = 31^2 + 988^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 977105 - 2⁸ = 976849 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (977107) 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 7 ways as a sum of consecutive naturals, for example, 974 + ... + 1703.

It is an arithmetic number, because the mean of its divisors is an integer number (148629).

2⁹⁷⁷¹⁰⁵ is an apocalyptic number.

It is an amenable number.

977105 is a deficient number, since it is larger than the sum of its proper divisors (211927).

977105 is a wasteful number, since it uses less digits than its factorization.

977105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2755.

The product of its (nonzero) digits is 2205, while the sum is 29.

The square root of 977105 is about 988.4862163935. The cubic root of 977105 is about 99.2309338687.

The spelling of 977105 in words is "nine hundred seventy-seven thousand, one hundred five".