677361 has 8 divisors (see below), whose sum is σ = 925344. Its totient is φ = 440480.

The previous prime is 677357. The next prime is 677371. The reversal of 677361 is 163776.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 677361 - 2² = 677357 is a prime.

677361 is a lucky number.

It is a plaindrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 677361.

It is not an unprimeable number, because it can be changed into a prime (677311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2631 + ... + 2876.

It is an arithmetic number, because the mean of its divisors is an integer number (115668).

2⁶⁷⁷³⁶¹ is an apocalyptic number.

It is an amenable number.

677361 is a deficient number, since it is larger than the sum of its proper divisors (247983).

677361 is a wasteful number, since it uses less digits than its factorization.

677361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5551.

The product of its digits is 5292, while the sum is 30.

The square root of 677361 is about 823.0194408396. The cubic root of 677361 is about 87.8226887744.

It can be divided in two parts, 6 and 77361, that multiplied together give a triangular number (464166 = T₉₆₃).

The spelling of 677361 in words is "six hundred seventy-seven thousand, three hundred sixty-one".