8629965 has 48 divisors (see below), whose sum is σ = 16426800. Its totient is φ = 4171776.

The previous prime is 8629963. The next prime is 8629981. The reversal of 8629965 is 5699268.

It can be written as a sum of positive squares in 8 ways, for example, as 21609 + 8608356 = 147^2 + 2934^2 .

It is not a de Polignac number, because 8629965 - 2¹ = 8629963 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

8629965 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 8629965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8629961) 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 47 ways as a sum of consecutive naturals, for example, 21991 + ... + 22379.

It is an arithmetic number, because the mean of its divisors is an integer number (342225).

Almost surely, 2^8629965 is an apocalyptic number.

8629965 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

8629965 is a deficient number, since it is larger than the sum of its proper divisors (7796835).

8629965 is a wasteful number, since it uses less digits than its factorization.

8629965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 443 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 8629965 is about 2937.6802072384. The cubic root of 8629965 is about 205.1176401924.

The spelling of 8629965 in words is "eight million, six hundred twenty-nine thousand, nine hundred sixty-five".