82833407 has 16 divisors (see below), whose sum is σ = 90205920. Its totient is φ = 75801600.

The previous prime is 82833403. The next prime is 82833427. The reversal of 82833407 is 70433828.

It is a cyclic number.

It is not a de Polignac number, because 82833407 - 2² = 82833403 is a prime.

It is a super-2 number, since 2×82833407² = 13722746630455298, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82833403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87557 + ... + 88497.

It is an arithmetic number, because the mean of its divisors is an integer number (5637870).

Almost surely, 2^82833407 is an apocalyptic number.

82833407 is a deficient number, since it is larger than the sum of its proper divisors (7372513).

82833407 is a wasteful number, since it uses less digits than its factorization.

82833407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114.

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 82833407 is about 9101.2860080321. The cubic root of 82833407 is about 435.9150281201.

The spelling of 82833407 in words is "eighty-two million, eight hundred thirty-three thousand, four hundred seven".