90767 has 4 divisors (see below), whose sum is σ = 91560. Its totient is φ = 89976.

The previous prime is 90749. The next prime is 90787. The reversal of 90767 is 76709.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 76709 = 79 ⋅971.

It is a cyclic number.

It is not a de Polignac number, because 90767 - 2⁶ = 90703 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90787) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 188 + ... + 465.

It is an arithmetic number, because the mean of its divisors is an integer number (22890).

2⁹⁰⁷⁶⁷ is an apocalyptic number.

90767 is a deficient number, since it is larger than the sum of its proper divisors (793).

90767 is a wasteful number, since it uses less digits than its factorization.

90767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792.

The product of its (nonzero) digits is 2646, while the sum is 29.

The square root of 90767 is about 301.2756213171. The cubic root of 90767 is about 44.9409926178.

The spelling of 90767 in words is "ninety thousand, seven hundred sixty-seven".