83653313 has 8 divisors (see below), whose sum is σ = 87021480. Its totient is φ = 80317440.

The previous prime is 83653307. The next prime is 83653343. The reversal of 83653313 is 31335638.

It can be written as a sum of positive squares in 4 ways, for example, as 2347024 + 81306289 = 1532^2 + 9017^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 83653313 - 2⁸ = 83653057 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 83653313.

It is not an unprimeable number, because it can be changed into a prime (83653343) 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, 2720 + ... + 13217.

It is an arithmetic number, because the mean of its divisors is an integer number (10877685).

Almost surely, 2^83653313 is an apocalyptic number.

It is an amenable number.

83653313 is a deficient number, since it is larger than the sum of its proper divisors (3368167).

83653313 is a wasteful number, since it uses less digits than its factorization.

83653313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16147.

The product of its digits is 19440, while the sum is 32.

The square root of 83653313 is about 9146.2185082142. The cubic root of 83653313 is about 437.3485743163.

The spelling of 83653313 in words is "eighty-three million, six hundred fifty-three thousand, three hundred thirteen".