82890369 has 24 divisors (see below), whose sum is σ = 128974560. Its totient is φ = 51129792.

The previous prime is 82890361. The next prime is 82890389. The reversal of 82890369 is 96309828.

82890369 is a `hidden beast` number, since 8 + 289 + 0 + 369 = 666.

It is not a de Polignac number, because 82890369 - 2³ = 82890361 is a prime.

It is a super-2 number, since 2×82890369² = 13741626545912322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82890361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1717 + ... + 12989.

It is an arithmetic number, because the mean of its divisors is an integer number (5373940).

Almost surely, 2^82890369 is an apocalyptic number.

It is an amenable number.

82890369 is a deficient number, since it is larger than the sum of its proper divisors (46084191).

82890369 is a wasteful number, since it uses less digits than its factorization.

82890369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11341 (or 11338 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 82890369 is about 9104.4148082126. The cubic root of 82890369 is about 436.0149270343.

The spelling of 82890369 in words is "eighty-two million, eight hundred ninety thousand, three hundred sixty-nine".