677125 has 8 divisors (see below), whose sum is σ = 845208. Its totient is φ = 541600.

The previous prime is 677119. The next prime is 677147. The reversal of 677125 is 521776.

It can be written as a sum of positive squares in 4 ways, for example, as 133956 + 543169 = 366^2 + 737^2 .

It is not a de Polignac number, because 677125 - 2¹⁷ = 546053 is a prime.

It is a super-3 number, since 3×677125³ = 931381914333984375, which contains 333 as substring.

It is a Duffinian number.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 677093 and 677102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2584 + ... + 2833.

It is an arithmetic number, because the mean of its divisors is an integer number (105651).

2⁶⁷⁷¹²⁵ is an apocalyptic number.

It is an amenable number.

677125 is a deficient number, since it is larger than the sum of its proper divisors (168083).

677125 is an equidigital number, since it uses as much as digits as its factorization.

677125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5432 (or 5422 counting only the distinct ones).

The product of its digits is 2940, while the sum is 28.

The square root of 677125 is about 822.8760538502. The cubic root of 677125 is about 87.8124881270.

The spelling of 677125 in words is "six hundred seventy-seven thousand, one hundred twenty-five".