90765 has 12 divisors (see below), whose sum is σ = 157404. Its totient is φ = 48384.

The previous prime is 90749. The next prime is 90787. The reversal of 90765 is 56709.

90765 is nontrivially palindromic in base 2.

It can be written as a sum of positive squares in 2 ways, for example, as 56169 + 34596 = 237^2 + 186^2 .

It is not a de Polignac number, because 90765 - 2⁴ = 90749 is a prime.

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

90765 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 964 + ... + 1053.

It is an arithmetic number, because the mean of its divisors is an integer number (13117).

2⁹⁰⁷⁶⁵ is an apocalyptic number.

It is an amenable number.

90765 is a deficient number, since it is larger than the sum of its proper divisors (66639).

90765 is a wasteful number, since it uses less digits than its factorization.

90765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 90765 is about 301.2723020790. The cubic root of 90765 is about 44.9406625321.

The spelling of 90765 in words is "ninety thousand, seven hundred sixty-five".