877971 has 16 divisors (see below), whose sum is σ = 1255040. Its totient is φ = 544320.

The previous prime is 877949. The next prime is 877997. The reversal of 877971 is 179778.

877971 = T₃ + T₄ + ... + T₁₇₃.

It is a happy number.

877971 is nontrivially palindromic in base 8.

It is not a de Polignac number, because 877971 - 2⁵ = 877939 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (877771) 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 15 ways as a sum of consecutive naturals, for example, 4056 + ... + 4266.

It is an arithmetic number, because the mean of its divisors is an integer number (78440).

2⁸⁷⁷⁹⁷¹ is an apocalyptic number.

877971 is a deficient number, since it is larger than the sum of its proper divisors (377069).

877971 is a wasteful number, since it uses less digits than its factorization.

877971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306.

The product of its digits is 24696, while the sum is 39.

The square root of 877971 is about 937.0010672353. The cubic root of 877971 is about 95.7546905332.

The spelling of 877971 in words is "eight hundred seventy-seven thousand, nine hundred seventy-one".