85005484249 has 9 divisors (see below), whose sum is σ = 98886304821. Its totient is φ = 72860094300.

The previous prime is 85005484177. The next prime is 85005484253. The reversal of 85005484249 is 94248450058.

The square root of 85005484249 is 291557.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 85005484249 - 2⁹ = 85005483737 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85005484279) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2020074 + ... + 2061724.

Almost surely, 2^85005484249 is an apocalyptic number.

85005484249 is the 291557-th square number.

85005484249 is the 145779-th centered octagonal number.

It is an amenable number.

85005484249 is a deficient number, since it is larger than the sum of its proper divisors (13880820572).

85005484249 is an frugal number, since it uses more digits than its factorization.

85005484249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83316 (or 41658 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 49.

Multiplying 85005484249 by its sum of digits (49), we get a square (4165268728201 = 2040899²).

85005484249 divided by its sum of digits (49) gives a square (1734805801 = 41651²).

The spelling of 85005484249 in words is "eighty-five billion, five million, four hundred eighty-four thousand, two hundred forty-nine".