82853407 has 16 divisors (see below), whose sum is σ = 102921280. Its totient is φ = 64945152.

The previous prime is 82853401. The next prime is 82853443. The reversal of 82853407 is 70435828.

It is a 10-Lehmer number, since φ(82853407) divides (82853407-1)¹⁰.

It is a cyclic number.

It is not a de Polignac number, because 82853407 - 2³ = 82853399 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82853401) 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, 5743 + ... + 14095.

It is an arithmetic number, because the mean of its divisors is an integer number (6432580).

Almost surely, 2^82853407 is an apocalyptic number.

82853407 is a deficient number, since it is larger than the sum of its proper divisors (20067873).

82853407 is a wasteful number, since it uses less digits than its factorization.

82853407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8482.

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 82853407 is about 9102.3846875421. The cubic root of 82853407 is about 435.9501089701.

The spelling of 82853407 in words is "eighty-two million, eight hundred fifty-three thousand, four hundred seven".