82741500 has 168 divisors, whose sum is σ = 272130768. Its totient is φ = 21967200.

The previous prime is 82741493. The next prime is 82741501. The reversal of 82741500 is 514728.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82741501) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 364387 + ... + 364613.

It is an arithmetic number, because the mean of its divisors is an integer number (1619826).

Almost surely, 2^82741500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82741500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136065384).

82741500 is an abundant number, since it is smaller than the sum of its proper divisors (189389268).

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

82741500 is a wasteful number, since it uses less digits than its factorization.

82741500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 82741500 is about 9096.2354850784. The cubic root of 82741500 is about 435.7537466980.

The spelling of 82741500 in words is "eighty-two million, seven hundred forty-one thousand, five hundred".