83545242 has 64 divisors (see below), whose sum is σ = 203212800. Its totient is φ = 22567680.

The previous prime is 83545237. The next prime is 83545247. The reversal of 83545242 is 24254538.

It is an interprime number because it is at equal distance from previous prime (83545237) and next prime (83545247).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (83545247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19359 + ... + 23277.

It is an arithmetic number, because the mean of its divisors is an integer number (3175200).

Almost surely, 2^83545242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83545242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101606400).

83545242 is an abundant number, since it is smaller than the sum of its proper divisors (119667558).

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

83545242 is a wasteful number, since it uses less digits than its factorization.

83545242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3971.

The product of its digits is 38400, while the sum is 33.

The square root of 83545242 is about 9140.3086381150. The cubic root of 83545242 is about 437.1601575267.

The spelling of 83545242 in words is "eighty-three million, five hundred forty-five thousand, two hundred forty-two".