85743924 has 36 divisors (see below), whose sum is σ = 232735104. Its totient is φ = 24498096.

The previous prime is 85743901. The next prime is 85743929. The reversal of 85743924 is 42934758.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85743929) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72324 + ... + 73499.

It is an arithmetic number, because the mean of its divisors is an integer number (6464864).

Almost surely, 2^85743924 is an apocalyptic number.

85743924 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

85743924 is an abundant number, since it is smaller than the sum of its proper divisors (146991180).

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

85743924 is a wasteful number, since it uses less digits than its factorization.

85743924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145844 (or 145835 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 85743924 is about 9259.8015097517. The cubic root of 85743924 is about 440.9619518698.

The spelling of 85743924 in words is "eighty-five million, seven hundred forty-three thousand, nine hundred twenty-four".