85354292 has 24 divisors (see below), whose sum is σ = 154558152. Its totient is φ = 41216000.

The previous prime is 85354249. The next prime is 85354319. The reversal of 85354292 is 29245358.

85354292 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 17522596 + 67831696 = 4186^2 + 8236^2 .

85354292 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

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, 13988 + ... + 19140.

It is an arithmetic number, because the mean of its divisors is an integer number (6439923).

Almost surely, 2^85354292 is an apocalyptic number.

85354292 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

85354292 is a deficient number, since it is larger than the sum of its proper divisors (69203860).

85354292 is a wasteful number, since it uses less digits than its factorization.

85354292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5299 (or 5297 counting only the distinct ones).

The product of its digits is 86400, while the sum is 38.

The square root of 85354292 is about 9238.7386584966. The cubic root of 85354292 is about 440.2930073149.

The spelling of 85354292 in words is "eighty-five million, three hundred fifty-four thousand, two hundred ninety-two".