82735000 has 40 divisors (see below), whose sum is σ = 193859820. Its totient is φ = 33092000.

The previous prime is 82734989. The next prime is 82735013. The reversal of 82735000 is 53728.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3274 + ... + 13273.

Almost surely, 2^82735000 is an apocalyptic number.

It is an amenable number.

82735000 is an abundant number, since it is smaller than the sum of its proper divisors (111124820).

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

82735000 is a wasteful number, since it uses less digits than its factorization.

82735000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16573 (or 16554 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 82735000 is about 9095.8781873989. The cubic root of 82735000 is about 435.7423357634.

Adding to 82735000 its reverse (53728), we get a palindrome (82788728).

The spelling of 82735000 in words is "eighty-two million, seven hundred thirty-five thousand".