82233504 has 36 divisors (see below), whose sum is σ = 233852346. Its totient is φ = 27411072.

The previous prime is 82233497. The next prime is 82233511. The reversal of 82233504 is 40533228.

It is an interprime number because it is at equal distance from previous prime (82233497) and next prime (82233511).

It can be written as a sum of positive squares in only one way, i.e., 46949904 + 35283600 = 6852^2 + 5940^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 142479 + ... + 143054.

Almost surely, 2^82233504 is an apocalyptic number.

It is an amenable number.

82233504 is an abundant number, since it is smaller than the sum of its proper divisors (151618842).

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

82233504 is a wasteful number, since it uses less digits than its factorization.

82233504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285549 (or 285538 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 82233504 is about 9068.2690740846. The cubic root of 82233504 is about 434.8601373584.

It can be divided in two parts, 82 and 233504, that added together give a triangular number (233586 = T₆₈₃).

The spelling of 82233504 in words is "eighty-two million, two hundred thirty-three thousand, five hundred four".