677131 has 12 divisors (see below), whose sum is σ = 849072. Its totient is φ = 535248.

The previous prime is 677119. The next prime is 677147. The reversal of 677131 is 131776.

It is not a de Polignac number, because 677131 - 2¹¹ = 675083 is a prime.

It is a super-2 number, since 2×677131² = 917012782322, which contains 22 as substring.

677131 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 677096 and 677105.

It is not an unprimeable number, because it can be changed into a prime (677111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106 + ... + 1168.

It is an arithmetic number, because the mean of its divisors is an integer number (70756).

2⁶⁷⁷¹³¹ is an apocalyptic number.

677131 is a deficient number, since it is larger than the sum of its proper divisors (171941).

677131 is a wasteful number, since it uses less digits than its factorization.

677131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1083 counting only the distinct ones).

The product of its digits is 882, while the sum is 25.

The square root of 677131 is about 822.8796995916. The cubic root of 677131 is about 87.8127474949.

It can be divided in two parts, 677 and 131, that added together give a palindrome (808).

The spelling of 677131 in words is "six hundred seventy-seven thousand, one hundred thirty-one".