8509963 has 32 divisors (see below), whose sum is σ = 11381760. Its totient is φ = 6168960.

The previous prime is 8509939. The next prime is 8509973. The reversal of 8509963 is 3699058.

It is not a de Polignac number, because 8509963 - 2⁹ = 8509451 is a prime.

It is a super-2 number, since 2×8509963² = 144838940522738, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8509933) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82570 + ... + 82672.

It is an arithmetic number, because the mean of its divisors is an integer number (355680).

Almost surely, 2^8509963 is an apocalyptic number.

8509963 is a deficient number, since it is larger than the sum of its proper divisors (2871797).

8509963 is a wasteful number, since it uses less digits than its factorization.

8509963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187.

The product of its (nonzero) digits is 58320, while the sum is 40.

The square root of 8509963 is about 2917.1840874377. The cubic root of 8509963 is about 204.1624602956.

It can be divided in two parts, 8 and 509963, that multiplied together give a palindrome (4079704).

The spelling of 8509963 in words is "eight million, five hundred nine thousand, nine hundred sixty-three".