90965 has 16 divisors (see below), whose sum is σ = 131328. Its totient is φ = 59136.

The previous prime is 90947. The next prime is 90971. The reversal of 90965 is 56909.

It is not a de Polignac number, because 90965 - 2⁶ = 90901 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 749 + ... + 861.

It is an arithmetic number, because the mean of its divisors is an integer number (8208).

2⁹⁰⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

90965 is a deficient number, since it is larger than the sum of its proper divisors (40363).

90965 is a wasteful number, since it uses less digits than its factorization.

90965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148.

The product of its (nonzero) digits is 2430, while the sum is 29.

The square root of 90965 is about 301.6040450657. The cubic root of 90965 is about 44.9736471217.

The spelling of 90965 in words is "ninety thousand, nine hundred sixty-five".