85458201 has 16 divisors (see below), whose sum is σ = 120859200. Its totient is φ = 53526528.

The previous prime is 85458199. The next prime is 85458203. The reversal of 85458201 is 10285458.

85458201 is a nontrivial binomial coefficient, being equal to C(13074, 2).

It is an interprime number because it is at equal distance from previous prime (85458199) and next prime (85458203).

It is not a de Polignac number, because 85458201 - 2¹ = 85458199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85458203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38130 + ... + 40308.

It is an arithmetic number, because the mean of its divisors is an integer number (7553700).

Almost surely, 2^85458201 is an apocalyptic number.

85458201 is the 13073-rd triangular number and also the 6537-th hexagonal number.

It is an amenable number.

85458201 is a deficient number, since it is larger than the sum of its proper divisors (35400999).

85458201 is a wasteful number, since it uses less digits than its factorization.

85458201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2968.

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 85458201 is about 9244.3604970815. The cubic root of 85458201 is about 440.4716035022.

The spelling of 85458201 in words is "eighty-five million, four hundred fifty-eight thousand, two hundred one".