85100929 has 8 divisors (see below), whose sum is σ = 90215208. Its totient is φ = 79998720.

The previous prime is 85100927. The next prime is 85101007. The reversal of 85100929 is 92900158.

It can be written as a sum of positive squares in 4 ways, for example, as 58599025 + 26501904 = 7655^2 + 5148^2 .

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 85100929 - 2¹ = 85100927 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85100894 and 85100903.

It is not an unprimeable number, because it can be changed into a prime (85100927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14439 + ... + 19459.

It is an arithmetic number, because the mean of its divisors is an integer number (11276901).

Almost surely, 2^85100929 is an apocalyptic number.

It is an amenable number.

85100929 is a deficient number, since it is larger than the sum of its proper divisors (5114279).

85100929 is a wasteful number, since it uses less digits than its factorization.

85100929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6035.

The product of its (nonzero) digits is 6480, while the sum is 34.

The square root of 85100929 is about 9225.0164769501. The cubic root of 85100929 is about 439.8569248999.

The spelling of 85100929 in words is "eighty-five million, one hundred thousand, nine hundred twenty-nine".