677361141 has 24 divisors (see below), whose sum is σ = 1052961624. Its totient is φ = 418037760.

The previous prime is 677361137. The next prime is 677361193. The reversal of 677361141 is 141163776.

It can be written as a sum of positive squares in 4 ways, for example, as 60516 + 677300625 = 246^2 + 26025^2 .

It is not a de Polignac number, because 677361141 - 2² = 677361137 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 677361096 and 677361105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677361121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26956 + ... + 45621.

It is an arithmetic number, because the mean of its divisors is an integer number (43873401).

Almost surely, 2^677361141 is an apocalyptic number.

677361141 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

677361141 is a deficient number, since it is larger than the sum of its proper divisors (375600483).

677361141 is a wasteful number, since it uses less digits than its factorization.

677361141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72661 (or 72658 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 677361141 is about 26026.1626253276. The cubic root of 677361141 is about 878.2269486816.

The spelling of 677361141 in words is "six hundred seventy-seven million, three hundred sixty-one thousand, one hundred forty-one".