8013965 has 16 divisors (see below), whose sum is σ = 10022400. Its totient is φ = 6144960.

The previous prime is 8013949. The next prime is 8013977. The reversal of 8013965 is 5693108.

It is not a de Polignac number, because 8013965 - 2⁴ = 8013949 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22922 + ... + 23268.

It is an arithmetic number, because the mean of its divisors is an integer number (626400).

Almost surely, 2^8013965 is an apocalyptic number.

It is an amenable number.

8013965 is a deficient number, since it is larger than the sum of its proper divisors (2008435).

8013965 is a wasteful number, since it uses less digits than its factorization.

8013965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532.

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 8013965 is about 2830.8947348851. The cubic root of 8013965 is about 200.1163073499.

The spelling of 8013965 in words is "eight million, thirteen thousand, nine hundred sixty-five".