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9949 is a prime number
BaseRepresentation
bin10011011011101
3111122111
42123131
5304244
6114021
741002
oct23335
914574
109949
117525
125911
1346b4
1438a9
152e34
hex26dd

9949 has 2 divisors, whose sum is σ = 9950. Its totient is φ = 9948.

The previous prime is 9941. The next prime is 9967. The reversal of 9949 is 9499.

It can be divided in two parts, 99 and 49, that multiplied together give a triangular number (4851 = T98).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8100 + 1849 = 90^2 + 43^2 .

It is a cyclic number.

It is not a de Polignac number, because 9949 - 23 = 9941 is a prime.

It is a super-3 number, since 3×99493 = 2954333692047, which contains 333 as substring.

It is a plaindrome in base 8 and base 16.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 9949.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9941) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4974 + 4975.

It is an arithmetic number, because the mean of its divisors is an integer number (4975).

29949 is an apocalyptic number.

It is an amenable number.

9949 is a deficient number, since it is larger than the sum of its proper divisors (1).

9949 is an equidigital number, since it uses as much as digits as its factorization.

9949 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2916, while the sum is 31.

The square root of 9949 is about 99.7446740433. The cubic root of 9949 is about 21.5076590704.

The spelling of 9949 in words is "nine thousand, nine hundred forty-nine".