82838451 has 16 divisors (see below), whose sum is σ = 111631520. Its totient is φ = 54639360.

The previous prime is 82838443. The next prime is 82838489. The reversal of 82838451 is 15483828.

It is not a de Polignac number, because 82838451 - 2³ = 82838443 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82838411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202335 + ... + 202743.

It is an arithmetic number, because the mean of its divisors is an integer number (6976970).

Almost surely, 2^82838451 is an apocalyptic number.

82838451 is a deficient number, since it is larger than the sum of its proper divisors (28793069).

82838451 is a wasteful number, since it uses less digits than its factorization.

82838451 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966.

The product of its digits is 61440, while the sum is 39.

The square root of 82838451 is about 9101.5631075107. The cubic root of 82838451 is about 435.9238760429.

The spelling of 82838451 in words is "eighty-two million, eight hundred thirty-eight thousand, four hundred fifty-one".