213102461 has 32 divisors (see below), whose sum is σ = 270103680. Its totient is φ = 165196800.

The previous prime is 213102443. The next prime is 213102467. The reversal of 213102461 is 164201312.

It is a cyclic number.

It is not a de Polignac number, because 213102461 - 2⁶ = 213102397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213102467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110441 + ... + 112353.

It is an arithmetic number, because the mean of its divisors is an integer number (8440740).

Almost surely, 2^213102461 is an apocalyptic number.

It is an amenable number.

213102461 is a deficient number, since it is larger than the sum of its proper divisors (57001219).

213102461 is a wasteful number, since it uses less digits than its factorization.

213102461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997.

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 213102461 is about 14598.0293533066. The cubic root of 213102461 is about 597.3050066605.

Adding to 213102461 its reverse (164201312), we get a palindrome (377303773).

The spelling of 213102461 in words is "two hundred thirteen million, one hundred two thousand, four hundred sixty-one".