82801692 has 18 divisors (see below), whose sum is σ = 209304368. Its totient is φ = 27600552.

The previous prime is 82801687. The next prime is 82801723. The reversal of 82801692 is 29610828.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×82801692² = 13712240396125728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2300047 = 82801692 / (8 + 2 + 8 + 0 + 1 + 6 + 9 + 2).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1149988 + ... + 1150059.

Almost surely, 2^82801692 is an apocalyptic number.

It is an amenable number.

82801692 is an abundant number, since it is smaller than the sum of its proper divisors (126502676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82801692 is a wasteful number, since it uses less digits than its factorization.

82801692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300057 (or 2300052 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 82801692 is about 9099.5435050336. The cubic root of 82801692 is about 435.8593870834.

The spelling of 82801692 in words is "eighty-two million, eight hundred one thousand, six hundred ninety-two".