677121 has 16 divisors (see below), whose sum is σ = 960960. Its totient is φ = 423360.

The previous prime is 677119. The next prime is 677147. The reversal of 677121 is 121776.

It is not a de Polignac number, because 677121 - 2¹ = 677119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 677091 and 677100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677111) 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 15 ways as a sum of consecutive naturals, for example, 3651 + ... + 3831.

It is an arithmetic number, because the mean of its divisors is an integer number (60060).

2⁶⁷⁷¹²¹ is an apocalyptic number.

It is an amenable number.

677121 is a deficient number, since it is larger than the sum of its proper divisors (283839).

677121 is a wasteful number, since it uses less digits than its factorization.

677121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256.

The product of its digits is 588, while the sum is 24.

The square root of 677121 is about 822.8736233469. The cubic root of 677121 is about 87.8123152143.

Adding to 677121 its reverse (121776), we get a palindrome (798897).

The spelling of 677121 in words is "six hundred seventy-seven thousand, one hundred twenty-one".