85245966 has 48 divisors (see below), whose sum is σ = 205150320. Its totient is φ = 26226720.

The previous prime is 85245961. The next prime is 85245967. The reversal of 85245966 is 66954258.

85245966 is a `hidden beast` number, since 8 + 52 + 4 + 596 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85245961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4456 + ... + 13796.

It is an arithmetic number, because the mean of its divisors is an integer number (4273965).

Almost surely, 2^85245966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85245966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102575160).

85245966 is an abundant number, since it is smaller than the sum of its proper divisors (119904354).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85245966 is a wasteful number, since it uses less digits than its factorization.

85245966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9378 (or 9359 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 85245966 is about 9232.8742003777. The cubic root of 85245966 is about 440.1066649115.

It can be divided in two parts, 85 and 245966, that added together give a triangular number (246051 = T₇₀₁).

The spelling of 85245966 in words is "eighty-five million, two hundred forty-five thousand, nine hundred sixty-six".