85100413 has 8 divisors (see below), whose sum is σ = 88817400. Its totient is φ = 81435648.

The previous prime is 85100401. The next prime is 85100443. The reversal of 85100413 is 31400158.

It can be written as a sum of positive squares in 4 ways, for example, as 956484 + 84143929 = 978^2 + 9173^2 .

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 85100413 - 2⁹ = 85099901 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85100443) 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, 9708 + ... + 16261.

It is an arithmetic number, because the mean of its divisors is an integer number (11102175).

Almost surely, 2^85100413 is an apocalyptic number.

It is an amenable number.

85100413 is a deficient number, since it is larger than the sum of its proper divisors (3716987).

85100413 is a wasteful number, since it uses less digits than its factorization.

85100413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26111.

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 85100413 is about 9224.9885094779. The cubic root of 85100413 is about 439.8560358903.

The spelling of 85100413 in words is "eighty-five million, one hundred thousand, four hundred thirteen".