85417542 has 48 divisors (see below), whose sum is σ = 212858880. Its totient is φ = 24249456.

The previous prime is 85417489. The next prime is 85417543. The reversal of 85417542 is 24571458.

85417542 is a `hidden beast` number, since 8 + 541 + 75 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 85417497 and 85417506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85417543) 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, 18459 + ... + 22617.

It is an arithmetic number, because the mean of its divisors is an integer number (4434560).

Almost surely, 2^85417542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85417542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106429440).

85417542 is an abundant number, since it is smaller than the sum of its proper divisors (127441338).

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

85417542 is a wasteful number, since it uses less digits than its factorization.

85417542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4337 (or 4334 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 85417542 is about 9242.1611109091. The cubic root of 85417542 is about 440.4017370813.

The spelling of 85417542 in words is "eighty-five million, four hundred seventeen thousand, five hundred forty-two".