85417948 has 24 divisors (see below), whose sum is σ = 186367104. Its totient is φ = 33279600.

The previous prime is 85417921. The next prime is 85417961. The reversal of 85417948 is 84971458.

It is a junction number, because it is equal to n+sod(n) for n = 85417898 and 85417907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138358 + ... + 138973.

It is an arithmetic number, because the mean of its divisors is an integer number (7765296).

Almost surely, 2^85417948 is an apocalyptic number.

It is an amenable number.

85417948 is an abundant number, since it is smaller than the sum of its proper divisors (100949156).

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

85417948 is a wasteful number, since it uses less digits than its factorization.

85417948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277353 (or 277351 counting only the distinct ones).

The product of its digits is 322560, while the sum is 46.

The square root of 85417948 is about 9242.1830754427. The cubic root of 85417948 is about 440.4024348413.

The spelling of 85417948 in words is "eighty-five million, four hundred seventeen thousand, nine hundred forty-eight".