85734100 has 18 divisors (see below), whose sum is σ = 186043214. Its totient is φ = 34293600.

The previous prime is 85734091. The next prime is 85734101. The reversal of 85734100 is 143758.

It can be written as a sum of positive squares in 3 ways, for example, as 16744464 + 68989636 = 4092^2 + 8306^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85734101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 428571 + ... + 428770.

Almost surely, 2^85734100 is an apocalyptic number.

It is an amenable number.

85734100 is an abundant number, since it is smaller than the sum of its proper divisors (100309114).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85734100 is a wasteful number, since it uses less digits than its factorization.

85734100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857355 (or 857348 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 85734100 is about 9259.2710296221. The cubic root of 85734100 is about 440.9451103435.

Adding to 85734100 its reverse (143758), we get a palindrome (85877858).

The spelling of 85734100 in words is "eighty-five million, seven hundred thirty-four thousand, one hundred".