82709961 has 8 divisors (see below), whose sum is σ = 112088064. Its totient is φ = 54235920.

The previous prime is 82709951. The next prime is 82709971. The reversal of 82709961 is 16990728.

It is an interprime number because it is at equal distance from previous prime (82709951) and next prime (82709971).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 82709961 - 2⁵ = 82709929 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (82709951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 225801 + ... + 226166.

It is an arithmetic number, because the mean of its divisors is an integer number (14011008).

Almost surely, 2^82709961 is an apocalyptic number.

It is an amenable number.

82709961 is a deficient number, since it is larger than the sum of its proper divisors (29378103).

82709961 is a wasteful number, since it uses less digits than its factorization.

82709961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452031.

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 82709961 is about 9094.5016905821. The cubic root of 82709961 is about 435.6983735016.

The spelling of 82709961 in words is "eighty-two million, seven hundred nine thousand, nine hundred sixty-one".