82033152 has 40 divisors (see below), whose sum is σ = 218545536. Its totient is φ = 27343872.

The previous prime is 82033139. The next prime is 82033153. The reversal of 82033152 is 25133028.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (82033153) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 25168 + ... + 28239.

Almost surely, 2^82033152 is an apocalyptic number.

It is an amenable number.

82033152 is an abundant number, since it is smaller than the sum of its proper divisors (136512384).

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

82033152 is an equidigital number, since it uses as much as digits as its factorization.

82033152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53428 (or 53412 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 82033152 is about 9057.2154661353. The cubic root of 82033152 is about 434.5066887576.

The spelling of 82033152 in words is "eighty-two million, thirty-three thousand, one hundred fifty-two".