82554001 has 2 divisors, whose sum is σ = 82554002. Its totient is φ = 82554000.

The previous prime is 82553971. The next prime is 82554007. The reversal of 82554001 is 10045528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80120401 + 2433600 = 8951^2 + 1560^2 .

It is a cyclic number.

It is not a de Polignac number, because 82554001 - 2¹⁹ = 82029713 is a prime.

It is a super-2 number, since 2×82554001² = 13630326162216002, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (82554007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41277000 + 41277001.

It is an arithmetic number, because the mean of its divisors is an integer number (41277001).

Almost surely, 2^82554001 is an apocalyptic number.

It is an amenable number.

82554001 is a deficient number, since it is larger than the sum of its proper divisors (1).

82554001 is an equidigital number, since it uses as much as digits as its factorization.

82554001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 82554001 is about 9085.9232332218. The cubic root of 82554001 is about 435.4243465579.

Adding to 82554001 its reverse (10045528), we get a palindrome (92599529).

The spelling of 82554001 in words is "eighty-two million, five hundred fifty-four thousand, one".