82772001 has 24 divisors (see below), whose sum is σ = 130690560. Its totient is φ = 50171616.

The previous prime is 82771991. The next prime is 82772143. The reversal of 82772001 is 10027728.

It is not a de Polignac number, because 82772001 - 2⁹ = 82771489 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82770001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2560 + ... + 13118.

It is an arithmetic number, because the mean of its divisors is an integer number (5445440).

Almost surely, 2^82772001 is an apocalyptic number.

It is an amenable number.

82772001 is a deficient number, since it is larger than the sum of its proper divisors (47918559).

82772001 is a wasteful number, since it uses less digits than its factorization.

82772001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10645 (or 10642 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 82772001 is about 9097.9119032886. The cubic root of 82772001 is about 435.8072840894.

Adding to 82772001 its reverse (10027728), we get a palindrome (92799729).

The spelling of 82772001 in words is "eighty-two million, seven hundred seventy-two thousand, one".