677943 has 32 divisors (see below), whose sum is σ = 1221120. Its totient is φ = 362880.

The previous prime is 677927. The next prime is 677947. The reversal of 677943 is 349776.

677943 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 677943 - 2⁴ = 677927 is a prime.

It is a super-2 number, since 2×677943² = 919213422498, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 677898 and 677907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677947) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3108 + ... + 3318.

It is an arithmetic number, because the mean of its divisors is an integer number (38160).

2⁶⁷⁷⁹⁴³ is an apocalyptic number.

677943 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

677943 is a deficient number, since it is larger than the sum of its proper divisors (543177).

677943 is a wasteful number, since it uses less digits than its factorization.

677943 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 238 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 677943 is about 823.3729410176. The cubic root of 677943 is about 87.8478344859.

The spelling of 677943 in words is "six hundred seventy-seven thousand, nine hundred forty-three".