85842132 has 24 divisors (see below), whose sum is σ = 200483136. Its totient is φ = 28587648.

The previous prime is 85842103. The next prime is 85842137. The reversal of 85842132 is 23124858.

It is a junction number, because it is equal to n+sod(n) for n = 85842093 and 85842102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85842137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13788 + ... + 19020.

It is an arithmetic number, because the mean of its divisors is an integer number (8353464).

Almost surely, 2^85842132 is an apocalyptic number.

It is an amenable number.

85842132 is an abundant number, since it is smaller than the sum of its proper divisors (114641004).

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

85842132 is a wasteful number, since it uses less digits than its factorization.

85842132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6607 (or 6605 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 85842132 is about 9265.1029136216. The cubic root of 85842132 is about 441.1302416104.

The spelling of 85842132 in words is "eighty-five million, eight hundred forty-two thousand, one hundred thirty-two".