213581641 has 32 divisors (see below), whose sum is σ = 282464000. Its totient is φ = 160030080.

The previous prime is 213581609. The next prime is 213581647. The reversal of 213581641 is 146185312.

213581641 = T₃₅₈ + T₃₅₉ + ... + T₁₀₉₈.

It is not a de Polignac number, because 213581641 - 2⁵ = 213581609 is a prime.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (213581647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83461 + ... + 85981.

It is an arithmetic number, because the mean of its divisors is an integer number (8827000).

Almost surely, 2^213581641 is an apocalyptic number.

It is an amenable number.

213581641 is a deficient number, since it is larger than the sum of its proper divisors (68882359).

213581641 is a wasteful number, since it uses less digits than its factorization.

213581641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2574 (or 2560 counting only the distinct ones).

The product of its digits is 5760, while the sum is 31.

The square root of 213581641 is about 14614.4326266879. The cubic root of 213581641 is about 597.7523694790.

The spelling of 213581641 in words is "two hundred thirteen million, five hundred eighty-one thousand, six hundred forty-one".