82914000 has 160 divisors (see below), whose sum is σ = 288148224. Its totient is φ = 20390400.

The previous prime is 82913993. The next prime is 82914001. The reversal of 82914000 is 41928.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82914001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77469 + ... + 78531.

Almost surely, 2^82914000 is an apocalyptic number.

82914000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82914000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144074112).

82914000 is an abundant number, since it is smaller than the sum of its proper divisors (205234224).

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

82914000 is a wasteful number, since it uses less digits than its factorization.

82914000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 82914000 is about 9105.7124927158. The cubic root of 82914000 is about 436.0563572185.

Adding to 82914000 its reverse (41928), we get a palindrome (82955928).

The spelling of 82914000 in words is "eighty-two million, nine hundred fourteen thousand".