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993137 is a prime number
BaseRepresentation
bin11110010011101110001
31212110022212
43302131301
5223240022
633141505
711304305
oct3623561
91773285
10993137
11619182
123ba895
1328a072
141bbd05
151493e2
hexf2771

993137 has 2 divisors, whose sum is σ = 993138. Its totient is φ = 993136.

The previous prime is 993121. The next prime is 993169. The reversal of 993137 is 731399.

It is a happy number.

It is an a-pointer prime, because the next prime (993169) can be obtained adding 993137 to its sum of digits (32).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 829921 + 163216 = 911^2 + 404^2 .

It is a cyclic number.

It is not a de Polignac number, because 993137 - 24 = 993121 is a prime.

It is a super-2 number, since 2×9931372 = 1972642201538, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (993107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 496568 + 496569.

It is an arithmetic number, because the mean of its divisors is an integer number (496569).

2993137 is an apocalyptic number.

It is an amenable number.

993137 is a deficient number, since it is larger than the sum of its proper divisors (1).

993137 is an equidigital number, since it uses as much as digits as its factorization.

993137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5103, while the sum is 32.

The square root of 993137 is about 996.5625921135. The cubic root of 993137 is about 99.7707079869.

The spelling of 993137 in words is "nine hundred ninety-three thousand, one hundred thirty-seven".