213261864 has 32 divisors (see below), whose sum is σ = 535381440. Its totient is φ = 70790400.

The previous prime is 213261847. The next prime is 213261887. The reversal of 213261864 is 468162312.

It is a nude number because it is divisible by every one of its digits.

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 7 ways as a sum of consecutive naturals, for example, 12652 + ... + 24219.

It is an arithmetic number, because the mean of its divisors is an integer number (16730670).

Almost surely, 2^213261864 is an apocalyptic number.

213261864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213261864 is an abundant number, since it is smaller than the sum of its proper divisors (322119576).

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

213261864 is a wasteful number, since it uses less digits than its factorization.

213261864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37121 (or 37117 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 213261864 is about 14603.4880764836. The cubic root of 213261864 is about 597.4538997946.

The spelling of 213261864 in words is "two hundred thirteen million, two hundred sixty-one thousand, eight hundred sixty-four".