213082920 has 64 divisors (see below), whose sum is σ = 710280000. Its totient is φ = 56821824.

The previous prime is 213082873. The next prime is 213082921. The reversal of 213082920 is 29280312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (213082921) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 97570 + ... + 99729.

It is an arithmetic number, because the mean of its divisors is an integer number (11098125).

Almost surely, 2^213082920 is an apocalyptic number.

213082920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213082920 is an abundant number, since it is smaller than the sum of its proper divisors (497197080).

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

213082920 is a wasteful number, since it uses less digits than its factorization.

213082920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197319 (or 197309 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 213082920 is about 14597.3600352941. The cubic root of 213082920 is about 597.2867489425.

The spelling of 213082920 in words is "two hundred thirteen million, eighty-two thousand, nine hundred twenty".