82574101 has 2 divisors, whose sum is σ = 82574102. Its totient is φ = 82574100.

The previous prime is 82574087. The next prime is 82574143. The reversal of 82574101 is 10147528.

82574101 = 6425² + 6426².

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41293476 + 41280625 = 6426^2 + 6425^2 .

It is a cyclic number.

It is not a de Polignac number, because 82574101 - 2⁵ = 82574069 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82574101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82574801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41287050 + 41287051.

It is an arithmetic number, because the mean of its divisors is an integer number (41287051).

Almost surely, 2^82574101 is an apocalyptic number.

82574101 is the 6426-th centered square number.

It is an amenable number.

82574101 is a deficient number, since it is larger than the sum of its proper divisors (1).

82574101 is an equidigital number, since it uses as much as digits as its factorization.

82574101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 82574101 is about 9087.0292725401. The cubic root of 82574101 is about 435.4596822939.

The spelling of 82574101 in words is "eighty-two million, five hundred seventy-four thousand, one hundred one".