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996401257 is a prime number
BaseRepresentation
bin111011011000111…
…110000001101001
32120102220102120021
4323120332001221
54020034320012
6242512200441
733456161635
oct7330760151
92512812507
10996401257
11471496015
12239839121
1312b57a157
1496491dc5
155c720007
hex3b63e069

996401257 has 2 divisors, whose sum is σ = 996401258. Its totient is φ = 996401256.

The previous prime is 996401209. The next prime is 996401279. The reversal of 996401257 is 752104699.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 625800256 + 370601001 = 25016^2 + 19251^2 .

It is an emirp because it is prime and its reverse (752104699) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-996401257 is a prime.

It is a super-3 number, since 3×9964012573 (a number of 28 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (996401657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 498200628 + 498200629.

It is an arithmetic number, because the mean of its divisors is an integer number (498200629).

Almost surely, 2996401257 is an apocalyptic number.

It is an amenable number.

996401257 is a deficient number, since it is larger than the sum of its proper divisors (1).

996401257 is an equidigital number, since it uses as much as digits as its factorization.

996401257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 136080, while the sum is 43.

The square root of 996401257 is about 31565.8241932632. The cubic root of 996401257 is about 998.7989771215.

The spelling of 996401257 in words is "nine hundred ninety-six million, four hundred one thousand, two hundred fifty-seven".