32820795 has 96 divisors (see below), whose sum is σ = 71705088. Its totient is φ = 14059008.

The previous prime is 32820769. The next prime is 32820803. The reversal of 32820795 is 59702823.

It is a happy number.

It is not a de Polignac number, because 32820795 - 2⁶ = 32820731 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 144472 + ... + 144698.

It is an arithmetic number, because the mean of its divisors is an integer number (746928).

Almost surely, 2^32820795 is an apocalyptic number.

32820795 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

32820795 is an abundant number, since it is smaller than the sum of its proper divisors (38884293).

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

32820795 is a wasteful number, since it uses less digits than its factorization.

32820795 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 32820795 is about 5728.9436199006. The cubic root of 32820795 is about 320.1717665083.

The spelling of 32820795 in words is "thirty-two million, eight hundred twenty thousand, seven hundred ninety-five".