85948767 has 12 divisors (see below), whose sum is σ = 124634640. Its totient is φ = 57074688.

The previous prime is 85948763. The next prime is 85948859. The reversal of 85948767 is 76784958.

It is not a de Polignac number, because 85948767 - 2² = 85948763 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85948763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16267 + ... + 20892.

It is an arithmetic number, because the mean of its divisors is an integer number (10386220).

Almost surely, 2^85948767 is an apocalyptic number.

85948767 is a deficient number, since it is larger than the sum of its proper divisors (38685873).

85948767 is a wasteful number, since it uses less digits than its factorization.

85948767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37422 (or 37419 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 85948767 is about 9270.8557857406. The cubic root of 85948767 is about 441.3128266171.

The spelling of 85948767 in words is "eighty-five million, nine hundred forty-eight thousand, seven hundred sixty-seven".