82786401 has 16 divisors (see below), whose sum is σ = 129102400. Its totient is φ = 52285824.

The previous prime is 82786397. The next prime is 82786433. The reversal of 82786401 is 10468728.

82786401 is a `hidden beast` number, since 8 + 2 + 7 + 8 + 640 + 1 = 666.

It is not a de Polignac number, because 82786401 - 2² = 82786397 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82786471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80176 + ... + 81201.

It is an arithmetic number, because the mean of its divisors is an integer number (8068900).

Almost surely, 2^82786401 is an apocalyptic number.

It is an amenable number.

82786401 is a deficient number, since it is larger than the sum of its proper divisors (46315999).

82786401 is a wasteful number, since it uses less digits than its factorization.

82786401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161405 (or 161399 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 82786401 is about 9098.7032592562. The cubic root of 82786401 is about 435.8325553604.

The spelling of 82786401 in words is "eighty-two million, seven hundred eighty-six thousand, four hundred one".