677971 has 8 divisors (see below), whose sum is σ = 808704. Its totient is φ = 555720.

The previous prime is 677959. The next prime is 677983. The reversal of 677971 is 179776.

It is an interprime number because it is at equal distance from previous prime (677959) and next prime (677983).

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 677971 - 2⁹ = 677459 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 677971.

It is not an unprimeable number, because it can be changed into a prime (677371) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1945 + ... + 2266.

It is an arithmetic number, because the mean of its divisors is an integer number (101088).

2⁶⁷⁷⁹⁷¹ is an apocalyptic number.

677971 is a deficient number, since it is larger than the sum of its proper divisors (130733).

677971 is a wasteful number, since it uses less digits than its factorization.

677971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4241.

The product of its digits is 18522, while the sum is 37.

The square root of 677971 is about 823.3899440727. The cubic root of 677971 is about 87.8490438823.

It can be divided in two parts, 6 and 77971, that added together give a palindrome (77977).

The spelling of 677971 in words is "six hundred seventy-seven thousand, nine hundred seventy-one".