10667961 has 6 divisors (see below), whose sum is σ = 15409290. Its totient is φ = 7111968.

The previous prime is 10667933. The next prime is 10667971. The reversal of 10667961 is 16976601.

It can be written as a sum of positive squares in only one way, i.e., 9884736 + 783225 = 3144^2 + 885^2 .

It is not a de Polignac number, because 10667961 - 2⁶ = 10667897 is a prime.

It is a super-2 number, since 2×10667961² = 227610783795042, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10667971) 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 5 ways as a sum of consecutive naturals, for example, 592656 + ... + 592673.

It is an arithmetic number, because the mean of its divisors is an integer number (2568215).

Almost surely, 2^10667961 is an apocalyptic number.

It is an amenable number.

10667961 is a deficient number, since it is larger than the sum of its proper divisors (4741329).

10667961 is a wasteful number, since it uses less digits than its factorization.

10667961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185335 (or 1185332 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 10667961 is about 3266.1844712141. The cubic root of 10667961 is about 220.1373866381.

It can be divided in two parts, 10667 and 961, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 10667961 in words is "ten million, six hundred sixty-seven thousand, nine hundred sixty-one".