10168961 has 12 divisors (see below), whose sum is σ = 11542272. Its totient is φ = 8943000.

The previous prime is 10168957. The next prime is 10168979. The reversal of 10168961 is 16986101.

10168961 = T₅₃ + T₅₄ + ... + T₃₉₃.

10168961 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10168961 - 2² = 10168957 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10168901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2396 + ... + 5106.

It is an arithmetic number, because the mean of its divisors is an integer number (961856).

Almost surely, 2^10168961 is an apocalyptic number.

10168961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10168961 is a deficient number, since it is larger than the sum of its proper divisors (1373311).

10168961 is a wasteful number, since it uses less digits than its factorization.

10168961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2764 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 32.

The square root of 10168961 is about 3188.8808381625. The cubic root of 10168961 is about 216.6500834119.

The spelling of 10168961 in words is "ten million, one hundred sixty-eight thousand, nine hundred sixty-one".