82575045 has 144 divisors (see below), whose sum is σ = 184242240. Its totient is φ = 35271936.

The previous prime is 82574983. The next prime is 82575067. The reversal of 82575045 is 54057528.

It is a happy number.

82575045 is a `hidden beast` number, since 82 + 575 + 0 + 4 + 5 = 666.

It is not a de Polignac number, because 82575045 - 2⁶ = 82574981 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1131129 + ... + 1131201.

It is an arithmetic number, because the mean of its divisors is an integer number (1279460).

Almost surely, 2^82575045 is an apocalyptic number.

It is an amenable number.

82575045 is an abundant number, since it is smaller than the sum of its proper divisors (101667195).

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

82575045 is a wasteful number, since it uses less digits than its factorization.

82575045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 82575045 is about 9087.0812145595. The cubic root of 82575045 is about 435.4613417019.

The spelling of 82575045 in words is "eighty-two million, five hundred seventy-five thousand, forty-five".