83013042 has 64 divisors (see below), whose sum is σ = 194641920. Its totient is φ = 23115456.

The previous prime is 83013037. The next prime is 83013043. The reversal of 83013042 is 24031038.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (83013043) 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, 421288 + ... + 421484.

It is an arithmetic number, because the mean of its divisors is an integer number (3041280).

Almost surely, 2^83013042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83013042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97320960).

83013042 is an abundant number, since it is smaller than the sum of its proper divisors (111628878).

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

83013042 is a wasteful number, since it uses less digits than its factorization.

83013042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 83013042 is about 9111.1493237681. The cubic root of 83013042 is about 436.2299133889.

The spelling of 83013042 in words is "eighty-three million, thirteen thousand, forty-two".