85373405 has 16 divisors (see below), whose sum is σ = 116820144. Its totient is φ = 59335680.

The previous prime is 85373399. The next prime is 85373423. The reversal of 85373405 is 50437358.

It can be written as a sum of positive squares in 8 ways, for example, as 32761 + 85340644 = 181^2 + 9238^2 .

It is not a de Polignac number, because 85373405 - 2⁴ = 85373389 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37526 + ... + 39735.

It is an arithmetic number, because the mean of its divisors is an integer number (7301259).

Almost surely, 2^85373405 is an apocalyptic number.

85373405 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

85373405 is a deficient number, since it is larger than the sum of its proper divisors (31446739).

85373405 is a wasteful number, since it uses less digits than its factorization.

85373405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77296.

The product of its (nonzero) digits is 50400, while the sum is 35.

The square root of 85373405 is about 9239.7729950470. The cubic root of 85373405 is about 440.3258691351.

The spelling of 85373405 in words is "eighty-five million, three hundred seventy-three thousand, four hundred five".