82953000 has 192 divisors, whose sum is σ = 302374800. Its totient is φ = 20390400.

The previous prime is 82952959. The next prime is 82953023. The reversal of 82953000 is 35928.

It can be written as a sum of positive squares in 8 ways, for example, as 3992004 + 78960996 = 1998^2 + 8886^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116646 + ... + 117354.

Almost surely, 2^82953000 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 82953000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151187400).

82953000 is an abundant number, since it is smaller than the sum of its proper divisors (219421800).

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

82953000 is a wasteful number, since it uses less digits than its factorization.

82953000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 82953000 is about 9107.8537537666. The cubic root of 82953000 is about 436.1247153255.

Adding to 82953000 its reverse (35928), we get a palindrome (82988928).

The spelling of 82953000 in words is "eighty-two million, nine hundred fifty-three thousand".