85724535 has 16 divisors (see below), whose sum is σ = 147710304. Its totient is φ = 42202752.

The previous prime is 85724501. The next prime is 85724539. The reversal of 85724535 is 53542758.

It is not a de Polignac number, because 85724535 - 2¹⁴ = 85708151 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 85724493 and 85724502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85724539) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219612 + ... + 220001.

It is an arithmetic number, because the mean of its divisors is an integer number (9231894).

Almost surely, 2^85724535 is an apocalyptic number.

85724535 is a deficient number, since it is larger than the sum of its proper divisors (61985769).

85724535 is a wasteful number, since it uses less digits than its factorization.

85724535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439634.

The product of its digits is 168000, while the sum is 39.

The square root of 85724535 is about 9258.7545058717. The cubic root of 85724535 is about 440.9287115911.

The spelling of 85724535 in words is "eighty-five million, seven hundred twenty-four thousand, five hundred thirty-five".