85517956 has 24 divisors (see below), whose sum is σ = 165352320. Its totient is φ = 38493312.

The previous prime is 85517951. The next prime is 85517969. The reversal of 85517956 is 65971558.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (85517951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25776 + ... + 28903.

It is an arithmetic number, because the mean of its divisors is an integer number (6889680).

Almost surely, 2^85517956 is an apocalyptic number.

It is an amenable number.

85517956 is a deficient number, since it is larger than the sum of its proper divisors (79834364).

85517956 is a wasteful number, since it uses less digits than its factorization.

85517956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54723 (or 54721 counting only the distinct ones).

The product of its digits is 378000, while the sum is 46.

The square root of 85517956 is about 9247.5919027604. The cubic root of 85517956 is about 440.5742433428.

The spelling of 85517956 in words is "eighty-five million, five hundred seventeen thousand, nine hundred fifty-six".