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90031 is a prime number
BaseRepresentation
bin10101111110101111
311120111111
4111332233
510340111
61532451
7523324
oct257657
9146444
1090031
1161707
1244127
1331c96
1424b4b
151ba21
hex15faf

90031 has 2 divisors, whose sum is σ = 90032. Its totient is φ = 90030.

The previous prime is 90023. The next prime is 90053. The reversal of 90031 is 13009.

It is a happy number.

It is a weak prime.

It is an emirp because it is prime and its reverse (13009) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 90031 - 23 = 90023 is a prime.

It is a super-2 number, since 2×900312 = 16211161922, which contains 22 as substring.

It is a Chen prime.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 89993 and 90020.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (90001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45015 + 45016.

It is an arithmetic number, because the mean of its divisors is an integer number (45016).

290031 is an apocalyptic number.

90031 is a deficient number, since it is larger than the sum of its proper divisors (1).

90031 is an equidigital number, since it uses as much as digits as its factorization.

90031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 90031 is about 300.0516622184. The cubic root of 90031 is about 44.8191921915.

The spelling of 90031 in words is "ninety thousand, thirty-one".