104965 has 8 divisors (see below), whose sum is σ = 144000. Its totient is φ = 71952.

The previous prime is 104959. The next prime is 104971. The reversal of 104965 is 569401.

104965 = 28² + 29² + ... + 69².

It is an interprime number because it is at equal distance from previous prime (104959) and next prime (104971).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 104965 - 2⁵ = 104933 is a prime.

It is a super-2 number, since 2×104965² = 22035302450, which contains 22 as substring.

104965 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1465 + ... + 1534.

It is an arithmetic number, because the mean of its divisors is an integer number (18000).

2¹⁰⁴⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

104965 is a deficient number, since it is larger than the sum of its proper divisors (39035).

104965 is an equidigital number, since it uses as much as digits as its factorization.

104965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011.

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 104965 is about 323.9830242466. The cubic root of 104965 is about 47.1716973384.

It can be divided in two parts, 10496 and 5, that added together give a palindrome (10501).

The spelling of 104965 in words is "one hundred four thousand, nine hundred sixty-five".