9146961 has 24 divisors (see below), whose sum is σ = 14040000. Its totient is φ = 5722272.

The previous prime is 9146959. The next prime is 9146971. The reversal of 9146961 is 1696419.

9146961 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 9146961 - 2¹ = 9146959 is a prime.

9146961 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (9146971) 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, 25300 + ... + 25658.

It is an arithmetic number, because the mean of its divisors is an integer number (585000).

Almost surely, 2^9146961 is an apocalyptic number.

It is an amenable number.

9146961 is a deficient number, since it is larger than the sum of its proper divisors (4893039).

9146961 is a wasteful number, since it uses less digits than its factorization.

9146961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 530 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 9146961 is about 3024.3943195291. The cubic root of 9146961 is about 209.1344647248.

It can be divided in two parts, 914 and 6961, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 9146961 in words is "nine million, one hundred forty-six thousand, nine hundred sixty-one".