85187907 has 48 divisors (see below), whose sum is σ = 148082688. Its totient is φ = 46163520.

The previous prime is 85187899. The next prime is 85187911. The reversal of 85187907 is 70978158.

It is not a de Polignac number, because 85187907 - 2³ = 85187899 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85183907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103098 + ... + 103920.

It is an arithmetic number, because the mean of its divisors is an integer number (3085056).

Almost surely, 2^85187907 is an apocalyptic number.

85187907 is a deficient number, since it is larger than the sum of its proper divisors (62894781).

85187907 is a wasteful number, since it uses less digits than its factorization.

85187907 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The square root of 85187907 is about 9229.7295193305. The cubic root of 85187907 is about 440.0067268255.

The spelling of 85187907 in words is "eighty-five million, one hundred eighty-seven thousand, nine hundred seven".