677133 has 16 divisors (see below), whose sum is σ = 1036800. Its totient is φ = 436320.

The previous prime is 677119. The next prime is 677147. The reversal of 677133 is 331776.

It is an interprime number because it is at equal distance from previous prime (677119) and next prime (677147).

It is a de Polignac number, because none of the positive numbers 2^k-677133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 677097 and 677106.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 677133.

It is not an unprimeable number, because it can be changed into a prime (677113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 433 + ... + 1241.

It is an arithmetic number, because the mean of its divisors is an integer number (64800).

2⁶⁷⁷¹³³ is an apocalyptic number.

It is an amenable number.

677133 is a deficient number, since it is larger than the sum of its proper divisors (359667).

677133 is a wasteful number, since it uses less digits than its factorization.

677133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 843 counting only the distinct ones).

The product of its digits is 2646, while the sum is 27.

The square root of 677133 is about 822.8809148352. The cubic root of 677133 is about 87.8128339505.

The spelling of 677133 in words is "six hundred seventy-seven thousand, one hundred thirty-three".