82359261 has 12 divisors (see below), whose sum is σ = 123369792. Its totient is φ = 54906012.

The previous prime is 82359253. The next prime is 82359289. The reversal of 82359261 is 16295328.

82359261 is a `hidden beast` number, since 8 + 2 + 3 + 592 + 61 = 666.

It is not a de Polignac number, because 82359261 - 2³ = 82359253 is a prime.

It is a super-2 number, since 2×82359261² = 13566095744932242, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82359241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169221 + ... + 169706.

It is an arithmetic number, because the mean of its divisors is an integer number (10280816).

Almost surely, 2^82359261 is an apocalyptic number.

82359261 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

82359261 is a deficient number, since it is larger than the sum of its proper divisors (41010531).

82359261 is an equidigital number, since it uses as much as digits as its factorization.

82359261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338942 (or 338930 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 82359261 is about 9075.2003283674. The cubic root of 82359261 is about 435.0816969030.

The spelling of 82359261 in words is "eighty-two million, three hundred fifty-nine thousand, two hundred sixty-one".