85949073 has 32 divisors (see below), whose sum is σ = 147302400. Its totient is φ = 48513168.

The previous prime is 85949063. The next prime is 85949089. The reversal of 85949073 is 37094958.

It is not a de Polignac number, because 85949073 - 2⁶ = 85949009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85949033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12948 + ... + 18426.

It is an arithmetic number, because the mean of its divisors is an integer number (4603200).

Almost surely, 2^85949073 is an apocalyptic number.

85949073 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

It is an amenable number.

85949073 is a deficient number, since it is larger than the sum of its proper divisors (61353327).

85949073 is a wasteful number, since it uses less digits than its factorization.

85949073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5578 (or 5572 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 85949073 is about 9270.8722890567. The cubic root of 85949073 is about 441.3133503460.

The spelling of 85949073 in words is "eighty-five million, nine hundred forty-nine thousand, seventy-three".