8961953 has 24 divisors (see below), whose sum is σ = 12257280. Its totient is φ = 6441120.

The previous prime is 8961943. The next prime is 8961959. The reversal of 8961953 is 3591698.

8961953 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8961953 - 2⁶ = 8961889 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 8961953.

It is not an unprimeable number, because it can be changed into a prime (8961959) 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, 6368 + ... + 7646.

It is an arithmetic number, because the mean of its divisors is an integer number (510720).

Almost surely, 2^8961953 is an apocalyptic number.

It is an amenable number.

8961953 is a deficient number, since it is larger than the sum of its proper divisors (3295327).

8961953 is a wasteful number, since it uses less digits than its factorization.

8961953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1310 counting only the distinct ones).

The product of its digits is 58320, while the sum is 41.

The square root of 8961953 is about 2993.6521173977. The cubic root of 8961953 is about 207.7148536637.

The spelling of 8961953 in words is "eight million, nine hundred sixty-one thousand, nine hundred fifty-three".