85751829 has 24 divisors (see below), whose sum is σ = 129941760. Its totient is φ = 54429408.

The previous prime is 85751803. The next prime is 85751849. The reversal of 85751829 is 92815758.

It is a happy number.

It is not a de Polignac number, because 85751829 - 2¹⁷ = 85620757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85751849) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12912 + ... + 18390.

It is an arithmetic number, because the mean of its divisors is an integer number (5414240).

Almost surely, 2^85751829 is an apocalyptic number.

It is an amenable number.

85751829 is a deficient number, since it is larger than the sum of its proper divisors (44189931).

85751829 is a wasteful number, since it uses less digits than its factorization.

85751829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5569 (or 5566 counting only the distinct ones).

The product of its digits is 201600, while the sum is 45.

The square root of 85751829 is about 9260.2283449168. The cubic root of 85751829 is about 440.9755026730.

It can be divided in two parts, 8575 and 1829, that added together give a square (10404 = 102²).

The spelling of 85751829 in words is "eighty-five million, seven hundred fifty-one thousand, eight hundred twenty-nine".