85983807 has 64 divisors (see below), whose sum is σ = 151732224. Its totient is φ = 42024960.

The previous prime is 85983787. The next prime is 85983817. The reversal of 85983807 is 70838958.

It is a happy number.

It is not a de Polignac number, because 85983807 - 2⁶ = 85983743 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85983817) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 450082 + ... + 450272.

It is an arithmetic number, because the mean of its divisors is an integer number (2370816).

Almost surely, 2^85983807 is an apocalyptic number.

85983807 is a deficient number, since it is larger than the sum of its proper divisors (65748417).

85983807 is a wasteful number, since it uses less digits than its factorization.

85983807 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328.

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 85983807 is about 9272.7453863459. The cubic root of 85983807 is about 441.3727906361.

It can be divided in two parts, 859 and 83807, that added together give a triangular number (84666 = T₄₁₁).

The spelling of 85983807 in words is "eighty-five million, nine hundred eighty-three thousand, eight hundred seven".