82353933 has 24 divisors (see below), whose sum is σ = 126599616. Its totient is φ = 51408000.

The previous prime is 82353907. The next prime is 82353977. The reversal of 82353933 is 33935328.

It is not a de Polignac number, because 82353933 - 2¹³ = 82345741 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82393933) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31008 + ... + 33558.

It is an arithmetic number, because the mean of its divisors is an integer number (5274984).

Almost surely, 2^82353933 is an apocalyptic number.

It is an amenable number.

82353933 is a deficient number, since it is larger than the sum of its proper divisors (44245683).

82353933 is a wasteful number, since it uses less digits than its factorization.

82353933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785 (or 2782 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 82353933 is about 9074.9067763807. The cubic root of 82353933 is about 435.0723145731.

It can be divided in two parts, 823 and 53933, that added together give a square (54756 = 234²).

The spelling of 82353933 in words is "eighty-two million, three hundred fifty-three thousand, nine hundred thirty-three".