10764961 has 9 divisors (see below), whose sum is σ = 11495001. Its totient is φ = 10079232.

The previous prime is 10764953. The next prime is 10764973. The reversal of 10764961 is 16946701.

The square root of 10764961 is 3281.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6561 + 10758400 = 81^2 + 3280^2 .

It is not a de Polignac number, because 10764961 - 2³ = 10764953 is a prime.

It is a Duffinian number.

It is a plaindrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (10764931) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 55681 + ... + 55873.

Almost surely, 2^10764961 is an apocalyptic number.

10764961 is the 3281-st square number.

10764961 is the 1641-st centered octagonal number.

It is an amenable number.

10764961 is a deficient number, since it is larger than the sum of its proper divisors (730040).

10764961 is an frugal number, since it uses more digits than its factorization.

10764961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The cubic root of 10764961 is about 220.8025850468.

The spelling of 10764961 in words is "ten million, seven hundred sixty-four thousand, nine hundred sixty-one".