213975900 has 108 divisors (see below), whose sum is σ = 699923952. Its totient is φ = 54574080.

The previous prime is 213975899. The next prime is 213975901. The reversal of 213975900 is 9579312.

It is an interprime number because it is at equal distance from previous prime (213975899) and next prime (213975901).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213975901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15532 + ... + 25868.

Almost surely, 2^213975900 is an apocalyptic number.

213975900 is a gapful number since it is divisible by the number (20) 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 213975900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349961976).

213975900 is an abundant number, since it is smaller than the sum of its proper divisors (485948052).

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

213975900 is a wasteful number, since it uses less digits than its factorization.

213975900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10380 (or 10370 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 213975900 is about 14627.9150940932. The cubic root of 213975900 is about 598.1199484969.

The spelling of 213975900 in words is "two hundred thirteen million, nine hundred seventy-five thousand, nine hundred".