90312 has 32 divisors (see below), whose sum is σ = 233280. Its totient is φ = 29120.

The previous prime is 90289. The next prime is 90313. The reversal of 90312 is 21309.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 90291 and 90300.

It is not an unprimeable number, because it can be changed into a prime (90313) by changing a digit.

90312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1237 + ... + 1307.

It is an arithmetic number, because the mean of its divisors is an integer number (7290).

2⁹⁰³¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116640).

90312 is an abundant number, since it is smaller than the sum of its proper divisors (142968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90312 is a wasteful number, since it uses less digits than its factorization.

90312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 90312 is about 300.5195501128. The cubic root of 90312 is about 44.8657728615.

The spelling of 90312 in words is "ninety thousand, three hundred twelve".