82570753 has 2 divisors, whose sum is σ = 82570754. Its totient is φ = 82570752.

The previous prime is 82570727. The next prime is 82570757. The reversal of 82570753 is 35707528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75134224 + 7436529 = 8668^2 + 2727^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82570753 is a prime.

It is a super-3 number, since 3×82570753³ (a number of 25 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (82570757) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41285376 + 41285377.

It is an arithmetic number, because the mean of its divisors is an integer number (41285377).

Almost surely, 2^82570753 is an apocalyptic number.

It is an amenable number.

82570753 is a deficient number, since it is larger than the sum of its proper divisors (1).

82570753 is an equidigital number, since it uses as much as digits as its factorization.

82570753 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 58800, while the sum is 37.

The square root of 82570753 is about 9086.8450520519. The cubic root of 82570753 is about 435.4537969186.

The spelling of 82570753 in words is "eighty-two million, five hundred seventy thousand, seven hundred fifty-three".