82572053 has 2 divisors, whose sum is σ = 82572054. Its totient is φ = 82572052.

The previous prime is 82572037. The next prime is 82572067. The reversal of 82572053 is 35027528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64915249 + 17656804 = 8057^2 + 4202^2 .

It is a cyclic number.

It is not a de Polignac number, because 82572053 - 2⁴ = 82572037 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82572013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41286026 + 41286027.

It is an arithmetic number, because the mean of its divisors is an integer number (41286027).

Almost surely, 2^82572053 is an apocalyptic number.

It is an amenable number.

82572053 is a deficient number, since it is larger than the sum of its proper divisors (1).

82572053 is an equidigital number, since it uses as much as digits as its factorization.

82572053 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 82572053 is about 9086.9165837483. The cubic root of 82572053 is about 435.4560821788.

The spelling of 82572053 in words is "eighty-two million, five hundred seventy-two thousand, fifty-three".