82374401 has 16 divisors (see below), whose sum is σ = 88917264. Its totient is φ = 76038144.

The previous prime is 82374379. The next prime is 82374403. The reversal of 82374401 is 10447328.

It can be written as a sum of positive squares in 8 ways, for example, as 18054001 + 64320400 = 4249^2 + 8020^2 .

It is not a de Polignac number, because 82374401 - 2⁶ = 82374337 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82374403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263021 + ... + 263333.

It is an arithmetic number, because the mean of its divisors is an integer number (5557329).

Almost surely, 2^82374401 is an apocalyptic number.

It is an amenable number.

82374401 is a deficient number, since it is larger than the sum of its proper divisors (6542863).

82374401 is a wasteful number, since it uses less digits than its factorization.

82374401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580.

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 82374401 is about 9076.0344314023. The cubic root of 82374401 is about 435.1083554443.

The spelling of 82374401 in words is "eighty-two million, three hundred seventy-four thousand, four hundred one".