82333233 has 32 divisors (see below), whose sum is σ = 128044800. Its totient is φ = 52214400.

The previous prime is 82333231. The next prime is 82333243. The reversal of 82333233 is 33233328.

It is not a de Polignac number, because 82333233 - 2¹ = 82333231 is a prime.

It is a super-2 number, since 2×82333233² = 13557522512464578, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 82333197 and 82333206.

It is not an unprimeable number, because it can be changed into a prime (82333231) 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, 54853 + ... + 56333.

It is an arithmetic number, because the mean of its divisors is an integer number (4001400).

Almost surely, 2^82333233 is an apocalyptic number.

It is an amenable number.

82333233 is a deficient number, since it is larger than the sum of its proper divisors (45711567).

82333233 is a wasteful number, since it uses less digits than its factorization.

82333233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590 (or 1584 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

The square root of 82333233 is about 9073.7661971201. The cubic root of 82333233 is about 435.0358591128.

The spelling of 82333233 in words is "eighty-two million, three hundred thirty-three thousand, two hundred thirty-three".