85201292 has 24 divisors (see below), whose sum is σ = 169731072. Its totient is φ = 37043600.

The previous prime is 85201273. The next prime is 85201307. The reversal of 85201292 is 29210258.

It is a super-3 number, since 3×85201292³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41084 + ... + 43107.

It is an arithmetic number, because the mean of its divisors is an integer number (7072128).

Almost surely, 2^85201292 is an apocalyptic number.

It is an amenable number.

85201292 is a deficient number, since it is larger than the sum of its proper divisors (84529780).

85201292 is a wasteful number, since it uses less digits than its factorization.

85201292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84229 (or 84227 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 85201292 is about 9230.4545933556. The cubic root of 85201292 is about 440.0297707129.

The spelling of 85201292 in words is "eighty-five million, two hundred one thousand, two hundred ninety-two".