85407 has 16 divisors (see below), whose sum is σ = 134400. Its totient is φ = 48216.

The previous prime is 85381. The next prime is 85411. The reversal of 85407 is 70458.

It is not a de Polignac number, because 85407 - 2¹⁵ = 52639 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85407.

It is not an unprimeable number, because it can be changed into a prime (85427) 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 15 ways as a sum of consecutive naturals, for example, 988 + ... + 1070.

It is an arithmetic number, because the mean of its divisors is an integer number (8400).

2⁸⁵⁴⁰⁷ is an apocalyptic number.

85407 is a deficient number, since it is larger than the sum of its proper divisors (48993).

85407 is an equidigital number, since it uses as much as digits as its factorization.

85407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 85407 is about 292.2447604321. The cubic root of 85407 is about 44.0383618609.

The spelling of 85407 in words is "eighty-five thousand, four hundred seven".