85507242 has 16 divisors (see below), whose sum is σ = 171118560. Its totient is φ = 28485072.

The previous prime is 85507199. The next prime is 85507243. The reversal of 85507242 is 24270558.

It is a super-2 number, since 2×85507242² = 14622976868893128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85507243) by changing a digit.

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, 9984 + ... + 16452.

It is an arithmetic number, because the mean of its divisors is an integer number (10694910).

Almost surely, 2^85507242 is an apocalyptic number.

85507242 is an abundant number, since it is smaller than the sum of its proper divisors (85611318).

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

85507242 is a wasteful number, since it uses less digits than its factorization.

85507242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8677.

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 85507242 is about 9247.0125986721. The cubic root of 85507242 is about 440.5558436608. Note that the first 3 decimals are identical.

The spelling of 85507242 in words is "eighty-five million, five hundred seven thousand, two hundred forty-two".