83857000961 has 2 divisors, whose sum is σ = 83857000962. Its totient is φ = 83857000960.

The previous prime is 83857000901. The next prime is 83857001029. The reversal of 83857000961 is 16900075838.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41930343361 + 41926657600 = 204769^2 + 204760^2 .

It is a cyclic number.

It is not a de Polignac number, because 83857000961 - 2¹⁴ = 83856984577 is a prime.

It is a super-2 number, since 2×83857000961² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (83857000901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41928500480 + 41928500481.

It is an arithmetic number, because the mean of its divisors is an integer number (41928500481).

Almost surely, 2^83857000961 is an apocalyptic number.

It is an amenable number.

83857000961 is a deficient number, since it is larger than the sum of its proper divisors (1).

83857000961 is an equidigital number, since it uses as much as digits as its factorization.

83857000961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 362880, while the sum is 47.

The spelling of 83857000961 in words is "eighty-three billion, eight hundred fifty-seven million, nine hundred sixty-one", and thus it is an aban number.