82573601 has 8 divisors (see below), whose sum is σ = 94821600. Its totient is φ = 71115840.

The previous prime is 82573583. The next prime is 82573609. The reversal of 82573601 is 10637528.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82573601 - 2⁶ = 82573537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82573609) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 197336 + ... + 197753.

It is an arithmetic number, because the mean of its divisors is an integer number (11852700).

Almost surely, 2^82573601 is an apocalyptic number.

It is an amenable number.

82573601 is a deficient number, since it is larger than the sum of its proper divisors (12247999).

82573601 is a wasteful number, since it uses less digits than its factorization.

82573601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395119.

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 82573601 is about 9087.0017607570. The cubic root of 82573601 is about 435.4588033650.

Subtracting from 82573601 its sum of digits (32), we obtain a square (82573569 = 9087²).

The spelling of 82573601 in words is "eighty-two million, five hundred seventy-three thousand, six hundred one".