83142324 has 36 divisors (see below), whose sum is σ = 210457156. Its totient is φ = 27675648.

The previous prime is 83142313. The next prime is 83142361. The reversal of 83142324 is 42324138.

It can be written as a sum of positive squares in 2 ways, for example, as 37822500 + 45319824 = 6150^2 + 6732^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38292 + ... + 40404.

Almost surely, 2^83142324 is an apocalyptic number.

It is an amenable number.

83142324 is an abundant number, since it is smaller than the sum of its proper divisors (127314832).

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

83142324 is a wasteful number, since it uses less digits than its factorization.

83142324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3216 (or 3211 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 83142324 is about 9118.2412777904. The cubic root of 83142324 is about 436.4562530210.

The spelling of 83142324 in words is "eighty-three million, one hundred forty-two thousand, three hundred twenty-four".