82153690 has 48 divisors (see below), whose sum is σ = 161377272. Its totient is φ = 30007296.

The previous prime is 82153679. The next prime is 82153691. The reversal of 82153690 is 9635128.

It can be written as a sum of positive squares in 12 ways, for example, as 48594841 + 33558849 = 6971^2 + 5793^2 .

It is a super-2 number, since 2×82153690² = 13498457561232200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (82153691) 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 23 ways as a sum of consecutive naturals, for example, 232554 + ... + 232906.

Almost surely, 2^82153690 is an apocalyptic number.

82153690 is a deficient number, since it is larger than the sum of its proper divisors (79223582).

82153690 is a wasteful number, since it uses less digits than its factorization.

82153690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 82153690 is about 9063.8672761686. The cubic root of 82153690 is about 434.7194033092.

The spelling of 82153690 in words is "eighty-two million, one hundred fifty-three thousand, six hundred ninety".