30827100 has 72 divisors (see below), whose sum is σ = 89799808. Its totient is φ = 8164800.

The previous prime is 30827099. The next prime is 30827117. The reversal of 30827100 is 172803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63057 + ... + 63543.

Almost surely, 2^30827100 is an apocalyptic number.

30827100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30827100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44899904).

30827100 is an abundant number, since it is smaller than the sum of its proper divisors (58972708).

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

30827100 is a wasteful number, since it uses less digits than its factorization.

30827100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 30827100 is about 5552.2157739050. The cubic root of 30827100 is about 313.5529495001.

Adding to 30827100 its reverse (172803), we get a palindrome (30999903).

The spelling of 30827100 in words is "thirty million, eight hundred twenty-seven thousand, one hundred".