83733145 has 8 divisors (see below), whose sum is σ = 100605960. Its totient is φ = 66902400.

The previous prime is 83733137. The next prime is 83733149. The reversal of 83733145 is 54133738.

It can be written as a sum of positive squares in 4 ways, for example, as 65536 + 83667609 = 256^2 + 9147^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 83733145 - 2³ = 83733137 is a prime.

It is a super-3 number, since 3×83733145³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 83733145.

It is not an unprimeable number, because it can be changed into a prime (83733149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5956 + ... + 14245.

It is an arithmetic number, because the mean of its divisors is an integer number (12575745).

Almost surely, 2^83733145 is an apocalyptic number.

It is an amenable number.

83733145 is a deficient number, since it is larger than the sum of its proper divisors (16872815).

83733145 is a wasteful number, since it uses less digits than its factorization.

83733145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21035.

The product of its digits is 30240, while the sum is 34.

The square root of 83733145 is about 9150.5816755002. The cubic root of 83733145 is about 437.4876535291.

The spelling of 83733145 in words is "eighty-three million, seven hundred thirty-three thousand, one hundred forty-five".