85746131 has 8 divisors (see below), whose sum is σ = 89380560. Its totient is φ = 82181088.

The previous prime is 85746077. The next prime is 85746137. The reversal of 85746131 is 13164758.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 85746131 - 2¹⁴ = 85729747 is a prime.

It is a super-2 number, since 2×85746131² = 14704797962938322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85746091 and 85746100.

It is not an unprimeable number, because it can be changed into a prime (85746137) 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 7 ways as a sum of consecutive naturals, for example, 14816 + ... + 19773.

It is an arithmetic number, because the mean of its divisors is an integer number (11172570).

Almost surely, 2^85746131 is an apocalyptic number.

85746131 is a deficient number, since it is larger than the sum of its proper divisors (3634429).

85746131 is a wasteful number, since it uses less digits than its factorization.

85746131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34693.

The product of its digits is 20160, while the sum is 35.

The square root of 85746131 is about 9259.9206800058. The cubic root of 85746131 is about 440.9657352076.

The spelling of 85746131 in words is "eighty-five million, seven hundred forty-six thousand, one hundred thirty-one".