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985416041 is a prime number
BaseRepresentation
bin111010101111000…
…100000101101001
32112200020022200102
4322233010011221
54004231303131
6241440515145
733263620031
oct7257040551
92480208612
10985416041
11466272725
1223601bab5
1312920201c
1494c328c1
155b7a01cb
hex3abc4169

985416041 has 2 divisors, whose sum is σ = 985416042. Its totient is φ = 985416040.

The previous prime is 985416037. The next prime is 985416049. The reversal of 985416041 is 140614589.

985416041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 984641641 + 774400 = 31379^2 + 880^2 .

It is a cyclic number.

It is not a de Polignac number, because 985416041 - 22 = 985416037 is a prime.

It is a super-2 number, since 2×9854160412 = 1942089547720227362, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 985415986 and 985416004.

It is not a weakly prime, because it can be changed into another prime (985416049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 492708020 + 492708021.

It is an arithmetic number, because the mean of its divisors is an integer number (492708021).

Almost surely, 2985416041 is an apocalyptic number.

It is an amenable number.

985416041 is a deficient number, since it is larger than the sum of its proper divisors (1).

985416041 is an equidigital number, since it uses as much as digits as its factorization.

985416041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 985416041 is about 31391.3370374694. The cubic root of 985416041 is about 995.1148545480.

The spelling of 985416041 in words is "nine hundred eighty-five million, four hundred sixteen thousand, forty-one".