82500033 has 32 divisors (see below), whose sum is σ = 144368640. Its totient is φ = 40599360.

The previous prime is 82500023. The next prime is 82500043. The reversal of 82500033 is 33000528.

It is an interprime number because it is at equal distance from previous prime (82500023) and next prime (82500043).

It is not a de Polignac number, because 82500033 - 2⁴ = 82500017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 82499982 and 82500009.

It is not an unprimeable number, because it can be changed into a prime (82500023) 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, 5010 + ... + 13787.

It is an arithmetic number, because the mean of its divisors is an integer number (4511520).

Almost surely, 2^82500033 is an apocalyptic number.

It is an amenable number.

82500033 is a deficient number, since it is larger than the sum of its proper divisors (61868607).

82500033 is a wasteful number, since it uses less digits than its factorization.

82500033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18837.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 82500033 is about 9082.9528788825. The cubic root of 82500033 is about 435.3294426026.

The spelling of 82500033 in words is "eighty-two million, five hundred thousand, thirty-three".