85734761 has 12 divisors (see below), whose sum is σ = 101617092. Its totient is φ = 72098208.

The previous prime is 85734697. The next prime is 85734763. The reversal of 85734761 is 16743758.

It can be written as a sum of positive squares in 2 ways, for example, as 37515625 + 48219136 = 6125^2 + 6944^2 .

It is not a de Polignac number, because 85734761 - 2⁶ = 85734697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85734763) 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 in 11 ways as a sum of consecutive naturals, for example, 13910 + ... + 19103.

It is an arithmetic number, because the mean of its divisors is an integer number (8468091).

Almost surely, 2^85734761 is an apocalyptic number.

It is an amenable number.

85734761 is a deficient number, since it is larger than the sum of its proper divisors (15882331).

85734761 is a wasteful number, since it uses less digits than its factorization.

85734761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33080 (or 33073 counting only the distinct ones).

The product of its digits is 141120, while the sum is 41.

The square root of 85734761 is about 9259.3067235080. The cubic root of 85734761 is about 440.9462435525.

The spelling of 85734761 in words is "eighty-five million, seven hundred thirty-four thousand, seven hundred sixty-one".