8961261 has 32 divisors (see below), whose sum is σ = 13426560. Its totient is φ = 5289984.

The previous prime is 8961257. The next prime is 8961269. The reversal of 8961261 is 1621698.

8961261 is a nontrivial binomial coefficient, being equal to C(4234, 2).

It is not a de Polignac number, because 8961261 - 2² = 8961257 is a prime.

8961261 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8961269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107926 + ... + 108008.

It is an arithmetic number, because the mean of its divisors is an integer number (419580).

Almost surely, 2^8961261 is an apocalyptic number.

8961261 is the 4233-rd triangular number and also the 2117-th hexagonal number.

It is an amenable number.

8961261 is a deficient number, since it is larger than the sum of its proper divisors (4465299).

8961261 is a wasteful number, since it uses less digits than its factorization.

8961261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205.

The product of its digits is 5184, while the sum is 33.

The square root of 8961261 is about 2993.5365372749. The cubic root of 8961261 is about 207.7095072704.

The spelling of 8961261 in words is "eight million, nine hundred sixty-one thousand, two hundred sixty-one".