9741677013 has 24 divisors (see below), whose sum is σ = 14572560600. Its totient is φ = 6263599104.

The previous prime is 9741677009. The next prime is 9741677041. The reversal of 9741677013 is 3107761479.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1173953169 + 8567723844 = 34263^2 + 92562^2 .

It is not a de Polignac number, because 9741677013 - 2² = 9741677009 is a prime.

It is a super-3 number, since 3×9741677013³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 9741677013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9741672013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222381 + ... + 262557.

It is an arithmetic number, because the mean of its divisors is an integer number (607190025).

Almost surely, 2^9741677013 is an apocalyptic number.

It is an amenable number.

9741677013 is a deficient number, since it is larger than the sum of its proper divisors (4830883587).

9741677013 is a wasteful number, since it uses less digits than its factorization.

9741677013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41141 (or 41138 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The square root of 9741677013 is about 98699.9342097045. The cubic root of 9741677013 is about 2135.7212826215.

The spelling of 9741677013 in words is "nine billion, seven hundred forty-one million, six hundred seventy-seven thousand, thirteen".