82853251 has 16 divisors (see below), whose sum is σ = 91869120. Its totient is φ = 74234880.

The previous prime is 82853233. The next prime is 82853263. The reversal of 82853251 is 15235828.

It is a cyclic number.

It is not a de Polignac number, because 82853251 - 2⁵ = 82853219 is a prime.

It is a super-2 number, since 2×82853251² = 13729322402538002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82853951) 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, 191131 + ... + 191563.

It is an arithmetic number, because the mean of its divisors is an integer number (5741820).

Almost surely, 2^82853251 is an apocalyptic number.

82853251 is a deficient number, since it is larger than the sum of its proper divisors (9015869).

82853251 is a wasteful number, since it uses less digits than its factorization.

82853251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846.

The product of its digits is 19200, while the sum is 34.

The square root of 82853251 is about 9102.3761183550. The cubic root of 82853251 is about 435.9498353614.

The spelling of 82853251 in words is "eighty-two million, eight hundred fifty-three thousand, two hundred fifty-one".