83653242 has 32 divisors (see below), whose sum is σ = 169905600. Its totient is φ = 27454848.

The previous prime is 83653237. The next prime is 83653267. The reversal of 83653242 is 24235638.

It is a happy number.

It is a super-3 number, since 3×83653242³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146734 + ... + 147302.

It is an arithmetic number, because the mean of its divisors is an integer number (5309550).

Almost surely, 2^83653242 is an apocalyptic number.

83653242 is an abundant number, since it is smaller than the sum of its proper divisors (86252358).

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

83653242 is a wasteful number, since it uses less digits than its factorization.

83653242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910.

The product of its digits is 34560, while the sum is 33.

The square root of 83653242 is about 9146.2146268279. The cubic root of 83653242 is about 437.3484505844.

The spelling of 83653242 in words is "eighty-three million, six hundred fifty-three thousand, two hundred forty-two".