85737961 has 4 divisors (see below), whose sum is σ = 85756500. Its totient is φ = 85719424.

The previous prime is 85737947. The next prime is 85737979. The reversal of 85737961 is 16973758.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 15848361 + 69889600 = 3981^2 + 8360^2 .

It is a cyclic number.

It is not a de Polignac number, because 85737961 - 2¹³ = 85729769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85737901) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4005 + ... + 13693.

It is an arithmetic number, because the mean of its divisors is an integer number (21439125).

Almost surely, 2^85737961 is an apocalyptic number.

It is an amenable number.

85737961 is a deficient number, since it is larger than the sum of its proper divisors (18539).

85737961 is an equidigital number, since it uses as much as digits as its factorization.

85737961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18538.

The product of its digits is 317520, while the sum is 46.

The square root of 85737961 is about 9259.4795210098. The cubic root of 85737961 is about 440.9517295048.

The spelling of 85737961 in words is "eighty-five million, seven hundred thirty-seven thousand, nine hundred sixty-one".