85345273 has 8 divisors (see below), whose sum is σ = 94394888. Its totient is φ = 76650624.

The previous prime is 85345261. The next prime is 85345307. The reversal of 85345273 is 37254358.

It is the 3772-nd star number.

It can be written as a sum of positive squares in 4 ways, for example, as 558009 + 84787264 = 747^2 + 9208^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 85345273 - 2⁵ = 85345241 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85345243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88236 + ... + 89197.

It is an arithmetic number, because the mean of its divisors is an integer number (11799361).

Almost surely, 2^85345273 is an apocalyptic number.

It is an amenable number.

85345273 is a deficient number, since it is larger than the sum of its proper divisors (9049615).

85345273 is a wasteful number, since it uses less digits than its factorization.

85345273 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177483.

The product of its digits is 100800, while the sum is 37.

The square root of 85345273 is about 9238.2505378454. The cubic root of 85345273 is about 440.2774988485.

The spelling of 85345273 in words is "eighty-five million, three hundred forty-five thousand, two hundred seventy-three".