90827 has 8 divisors (see below), whose sum is σ = 103680. Its totient is φ = 78760.

The previous prime is 90823. The next prime is 90833. The reversal of 90827 is 72809.

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

It is not a de Polignac number, because 90827 - 2² = 90823 is a prime.

It is a Duffinian number.

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 90796 and 90805.

It is not an unprimeable number, because it can be changed into a prime (90821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74 + ... + 432.

It is an arithmetic number, because the mean of its divisors is an integer number (12960).

2⁹⁰⁸²⁷ is an apocalyptic number.

90827 is a deficient number, since it is larger than the sum of its proper divisors (12853).

90827 is a wasteful number, since it uses less digits than its factorization.

90827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393.

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 90827 is about 301.3751814599. The cubic root of 90827 is about 44.9508929326.

The spelling of 90827 in words is "ninety thousand, eight hundred twenty-seven".