85177242 has 48 divisors (see below), whose sum is σ = 196658280. Its totient is φ = 26551296.

The previous prime is 85177241. The next prime is 85177271. The reversal of 85177242 is 24277158.

It can be written as a sum of positive squares in 4 ways, for example, as 77105961 + 8071281 = 8781^2 + 2841^2 .

It is a junction number, because it is equal to n+sod(n) for n = 85177197 and 85177206.

It is not an unprimeable number, because it can be changed into a prime (85177241) 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, 52134 + ... + 53742.

Almost surely, 2^85177242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85177242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98329140).

85177242 is an abundant number, since it is smaller than the sum of its proper divisors (111481038).

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

85177242 is a wasteful number, since it uses less digits than its factorization.

85177242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1807 (or 1804 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 85177242 is about 9229.1517486712. The cubic root of 85177242 is about 439.9883640174.

The spelling of 85177242 in words is "eighty-five million, one hundred seventy-seven thousand, two hundred forty-two".