985735501 has 2 divisors, whose sum is σ = 985735502. Its totient is φ = 985735500.

The previous prime is 985735481. The next prime is 985735507. The reversal of 985735501 is 105537589.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 496175625 + 489559876 = 22275^2 + 22126^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-985735501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (985735507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 492867750 + 492867751.

It is an arithmetic number, because the mean of its divisors is an integer number (492867751).

Almost surely, 2^985735501 is an apocalyptic number.

It is an amenable number.

985735501 is a deficient number, since it is larger than the sum of its proper divisors (1).

985735501 is an equidigital number, since it uses as much as digits as its factorization.

985735501 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189000, while the sum is 43.

The square root of 985735501 is about 31396.4249716429. The cubic root of 985735501 is about 995.2223776757. Note that the first 3 decimals are identical.

The spelling of 985735501 in words is "nine hundred eighty-five million, seven hundred thirty-five thousand, five hundred one".