961677 has 6 divisors (see below), whose sum is σ = 1389102. Its totient is φ = 641112.

The previous prime is 961663. The next prime is 961679. The reversal of 961677 is 776169.

It can be written as a sum of positive squares in only one way, i.e., 594441 + 367236 = 771^2 + 606^2 .

It is not a de Polignac number, because 961677 - 2⁴ = 961661 is a prime.

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 961677.

It is not an unprimeable number, because it can be changed into a prime (961679) 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 5 ways as a sum of consecutive naturals, for example, 53418 + ... + 53435.

It is an arithmetic number, because the mean of its divisors is an integer number (231517).

2⁹⁶¹⁶⁷⁷ is an apocalyptic number.

It is an amenable number.

961677 is a deficient number, since it is larger than the sum of its proper divisors (427425).

961677 is a wasteful number, since it uses less digits than its factorization.

961677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106859 (or 106856 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 961677 is about 980.6513141785. The cubic root of 961677 is about 98.7058917471.

The spelling of 961677 in words is "nine hundred sixty-one thousand, six hundred seventy-seven".